SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    21181, 21182, 21183, 21184, 21185, 21186, 
    21187, 21188, 21189, 21190, 21191, 
    21192, 21193, 21194, 21195, 21196
  ) 
  OR sale_product_id IN (
    21181, 21182, 21183, 21184, 21185, 21186, 
    21187, 21188, 21189, 21190, 21191, 
    21192, 21193, 21194, 21195, 21196
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00030

JSON explain

{
  "query_block": {
    "select_id": 1,
    "read_sorted_file": {
      "filesort": {
        "sort_key": "cscart_mb_salvage_cases.updated_at desc, cscart_mb_salvage_cases.case_id desc",
        "table": {
          "table_name": "cscart_mb_salvage_cases",
          "access_type": "ALL",
          "rows": 58,
          "filtered": 100,
          "attached_condition": "cscart_mb_salvage_cases.auction_product_id in (21181,21182,21183,21184,21185,21186,21187,21188,21189,21190,21191,21192,21193,21194,21195,21196) or cscart_mb_salvage_cases.sale_product_id in (21181,21182,21183,21184,21185,21186,21187,21188,21189,21190,21191,21192,21193,21194,21195,21196)"
        }
      }
    }
  }
}