SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    19581, 19582, 19583, 19584, 19585, 19586, 
    19587, 19588, 19589, 19590, 19591, 
    19592, 19593, 19594, 19595, 19596
  ) 
  OR sale_product_id IN (
    19581, 19582, 19583, 19584, 19585, 19586, 
    19587, 19588, 19589, 19590, 19591, 
    19592, 19593, 19594, 19595, 19596
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00052

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 (19581,19582,19583,19584,19585,19586,19587,19588,19589,19590,19591,19592,19593,19594,19595,19596) or cscart_mb_salvage_cases.sale_product_id in (19581,19582,19583,19584,19585,19586,19587,19588,19589,19590,19591,19592,19593,19594,19595,19596)"
        }
      }
    }
  }
}