SELECT 
  SQL_CALC_FOUND_ROWS products.product_id, 
  IF(
    shared_descr.product_id IS NOT NULL, 
    shared_descr.product, descr1.product
  ) as product, 
  companies.company as company_name, 
  products.product_type, 
  products.parent_product_id 
FROM 
  cscart_products as products 
  LEFT JOIN cscart_product_descriptions as descr1 ON descr1.product_id = products.product_id 
  AND descr1.lang_code = 'fr' 
  LEFT JOIN cscart_product_prices as prices ON prices.product_id = products.product_id 
  AND prices.lower_limit = 1 
  LEFT JOIN cscart_companies AS companies ON companies.company_id = products.company_id 
  INNER JOIN cscart_products_categories as products_categories ON products_categories.product_id = products.product_id 
  INNER JOIN cscart_categories ON cscart_categories.category_id = products_categories.category_id 
  AND (
    cscart_categories.usergroup_ids = '' 
    OR FIND_IN_SET(
      0, cscart_categories.usergroup_ids
    ) 
    OR FIND_IN_SET(
      1, cscart_categories.usergroup_ids
    )
  ) 
  AND cscart_categories.status IN ('A', 'H') 
  AND cscart_categories.storefront_id IN (0, 1) 
  LEFT JOIN cscart_ult_product_descriptions shared_descr ON shared_descr.product_id = products.product_id 
  AND shared_descr.company_id = 1 
  AND shared_descr.lang_code = 'fr' 
WHERE 
  1 
  AND companies.status IN ('A') 
  AND products.product_id IN (
    5558, 4470, 1906, 2230, 1178, 7670, 2808, 
    1523, 1149, 1157, 1164, 1150, 1116, 
    7595
  ) 
  AND (
    products.usergroup_ids = '' 
    OR FIND_IN_SET(0, products.usergroup_ids) 
    OR FIND_IN_SET(1, products.usergroup_ids)
  ) 
  AND products.status IN ('A') 
  AND prices.usergroup_id IN (0, 0, 1) 
GROUP BY 
  products.product_id 
ORDER BY 
  products.timestamp desc, 
  products.product_id ASC

Query time 0.00149

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "28.78"
    },
    "ordering_operation": {
      "using_filesort": true,
      "grouping_operation": {
        "using_temporary_table": true,
        "using_filesort": false,
        "nested_loop": [
          {
            "table": {
              "table_name": "companies",
              "access_type": "system",
              "possible_keys": [
                "PRIMARY"
              ],
              "rows_examined_per_scan": 1,
              "rows_produced_per_join": 1,
              "filtered": "100.00",
              "cost_info": {
                "read_cost": "0.00",
                "eval_cost": "0.20",
                "prefix_cost": "0.00",
                "data_read_per_join": "5K"
              },
              "used_columns": [
                "company_id",
                "status",
                "company"
              ]
            }
          },
          {
            "table": {
              "table_name": "shared_descr",
              "access_type": "system",
              "possible_keys": [
                "PRIMARY",
                "product_id",
                "company_id"
              ],
              "rows_examined_per_scan": 0,
              "rows_produced_per_join": 1,
              "filtered": "0.00",
              "const_row_not_found": true,
              "cost_info": {
                "read_cost": "0.00",
                "eval_cost": "0.20",
                "prefix_cost": "0.00",
                "data_read_per_join": "3K"
              },
              "used_columns": [
                "product_id",
                "lang_code",
                "company_id",
                "product"
              ]
            }
          },
          {
            "table": {
              "table_name": "prices",
              "access_type": "range",
              "possible_keys": [
                "membership",
                "product_id",
                "lower_limit",
                "membership_id"
              ],
              "key": "membership",
              "used_key_parts": [
                "product_id",
                "usergroup_id",
                "lower_limit"
              ],
              "key_length": "9",
              "rows_examined_per_scan": 28,
              "rows_produced_per_join": 28,
              "filtered": "100.00",
              "using_index": true,
              "cost_info": {
                "read_cost": "7.43",
                "eval_cost": "5.60",
                "prefix_cost": "13.03",
                "data_read_per_join": "672"
              },
              "used_columns": [
                "product_id",
                "lower_limit",
                "usergroup_id"
              ],
              "attached_condition": "(((`ea201_francemaqu`.`prices`.`lower_limit` = 1) and (`ea201_francemaqu`.`prices`.`product_id` in (5558,4470,1906,2230,1178,7670,2808,1523,1149,1157,1164,1150,1116,7595)) and (`ea201_francemaqu`.`prices`.`usergroup_id` in (0,0,1))) and (`ea201_francemaqu`.`prices`.`product_id` is not null))"
            }
          },
          {
            "table": {
              "table_name": "products",
              "access_type": "eq_ref",
              "possible_keys": [
                "PRIMARY",
                "status"
              ],
              "key": "PRIMARY",
              "used_key_parts": [
                "product_id"
              ],
              "key_length": "3",
              "ref": [
                "ea201_francemaqu.prices.product_id"
              ],
              "rows_examined_per_scan": 1,
              "rows_produced_per_join": 2,
              "filtered": "8.24",
              "cost_info": {
                "read_cost": "0.00",
                "eval_cost": "0.46",
                "prefix_cost": "18.63",
                "data_read_per_join": "8K"
              },
              "used_columns": [
                "product_id",
                "product_type",
                "status",
                "timestamp",
                "company_id",
                "usergroup_ids",
                "parent_product_id"
              ],
              "attached_condition": "((`ea201_francemaqu`.`products`.`company_id` = '1') and ((`ea201_francemaqu`.`products`.`usergroup_ids` = '') or find_in_set(0,`ea201_francemaqu`.`products`.`usergroup_ids`) or find_in_set(1,`ea201_francemaqu`.`products`.`usergroup_ids`)) and (`ea201_francemaqu`.`products`.`status` = 'A'))"
            }
          },
          {
            "table": {
              "table_name": "descr1",
              "access_type": "eq_ref",
              "possible_keys": [
                "PRIMARY",
                "product_id"
              ],
              "key": "PRIMARY",
              "used_key_parts": [
                "product_id",
                "lang_code"
              ],
              "key_length": "9",
              "ref": [
                "ea201_francemaqu.prices.product_id",
                "const"
              ],
              "rows_examined_per_scan": 1,
              "rows_produced_per_join": 2,
              "filtered": "100.00",
              "cost_info": {
                "read_cost": "0.00",
                "eval_cost": "0.46",
                "prefix_cost": "19.09",
                "data_read_per_join": "8K"
              },
              "used_columns": [
                "product_id",
                "lang_code",
                "product"
              ]
            }
          },
          {
            "table": {
              "table_name": "products_categories",
              "access_type": "ref",
              "possible_keys": [
                "PRIMARY",
                "pt"
              ],
              "key": "pt",
              "used_key_parts": [
                "product_id"
              ],
              "key_length": "3",
              "ref": [
                "ea201_francemaqu.prices.product_id"
              ],
              "rows_examined_per_scan": 3,
              "rows_produced_per_join": 6,
              "filtered": "100.00",
              "cost_info": {
                "read_cost": "6.92",
                "eval_cost": "1.38",
                "prefix_cost": "27.39",
                "data_read_per_join": "110"
              },
              "used_columns": [
                "product_id",
                "category_id"
              ]
            }
          },
          {
            "table": {
              "table_name": "cscart_categories",
              "access_type": "eq_ref",
              "possible_keys": [
                "PRIMARY",
                "c_status",
                "p_category_id"
              ],
              "key": "PRIMARY",
              "used_key_parts": [
                "category_id"
              ],
              "key_length": "3",
              "ref": [
                "ea201_francemaqu.products_categories.category_id"
              ],
              "rows_examined_per_scan": 1,
              "rows_produced_per_join": 0,
              "filtered": "5.00",
              "cost_info": {
                "read_cost": "0.00",
                "eval_cost": "0.07",
                "prefix_cost": "28.78",
                "data_read_per_join": "924"
              },
              "used_columns": [
                "category_id",
                "usergroup_ids",
                "status",
                "storefront_id"
              ],
              "attached_condition": "(((`ea201_francemaqu`.`cscart_categories`.`usergroup_ids` = '') or find_in_set(0,`ea201_francemaqu`.`cscart_categories`.`usergroup_ids`) or find_in_set(1,`ea201_francemaqu`.`cscart_categories`.`usergroup_ids`)) and (`ea201_francemaqu`.`cscart_categories`.`status` in ('A','H')) and (`ea201_francemaqu`.`cscart_categories`.`storefront_id` in (0,1)))"
            }
          }
        ]
      }
    }
  }
}

Result

product_id product company_name product_type parent_product_id
5558 Support de mise en peinture - Tamiya 74522 France Maquette P 0
7595 Humbrol 54 - Cuivre Jaune Métal France Maquette P 0
7670 Humbrol 153 - Rouge Insigne Mat France Maquette P 0
2230 Set pour peintures Revell - Model Set 29620 France Maquette P 0
4470 Set de pinceaux standard - Revell 29621 France Maquette P 0
2808 Colle pinceau extra fluide 40 ml – Tamiya 87038 France Maquette P 0
1116 X2 Blanc Brillant - Tamiya 81502 France Maquette P 0
1149 XF1 Noir Mat - Tamiya 81701 France Maquette P 0
1150 XF2 Blanc Mat - Tamiya 81702 France Maquette P 0
1157 XF9 Rouge sombre - Tamiya 81709 France Maquette P 0
1164 XF16 Aluminium Mat - Tamiya 81716 France Maquette P 0
1178 XF50 Bleu Campagne Mat - Tamiya 81750 France Maquette P 0
1523 Diluant L X-20A 46 ml – Tamiya 81030 France Maquette P 0
1906 ModelSet Plus - Outils de modélisme - Revell 29619 France Maquette P 0