SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    2329, 2328, 2785, 2779, 2783, 2780, 2782, 
    2781, 2784, 2786, 2777, 2778
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00053

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 24,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (2329,2328,2785,2779,2783,2780,2782,2781,2784,2786,2777,2778) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'ru' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
    }
  }
}

Result

product_id seo_name seo_path
2328 tureckiy-kover-152h200-good-night-blue 302/303/304
2329 tureckiy-kover-152h200-balloons-grey 302/303/304
2777 tureckiy-kover-cat-160x230-clone 302/303/575
2778 tureckiy-kover-games-160x230-clone 302/303/575
2779 tureckiy-kover-games-120x180-clone 302/303/575
2780 tureckiy-kover-rabbit-120x180-clone 302/303/575
2781 tureckiy-kover-rabbit-160x230-clone 302/303/575
2782 tureckiy-kover-space-160x230-clone 302/303/575
2783 tureckiy-kover-space-120x180-clone 302/303/575
2784 tureckiy-kover-stars-120x180-clone 302/303/575
2785 tureckiy-kover-stars-160x230-clone 302/303/575
2786 tureckiy-kover-moon-160x230-clone 302/303/575