SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    20573, 20574, 20575, 20576, 20577, 20578, 
    20579, 20580, 20581, 20582, 20583, 
    20584, 20585, 20586, 20587, 20588
  ) 
  OR sale_product_id IN (
    20573, 20574, 20575, 20576, 20577, 20578, 
    20579, 20580, 20581, 20582, 20583, 
    20584, 20585, 20586, 20587, 20588
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00025

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": 56,
          "filtered": 100,
          "attached_condition": "cscart_mb_salvage_cases.auction_product_id in (20573,20574,20575,20576,20577,20578,20579,20580,20581,20582,20583,20584,20585,20586,20587,20588) or cscart_mb_salvage_cases.sale_product_id in (20573,20574,20575,20576,20577,20578,20579,20580,20581,20582,20583,20584,20585,20586,20587,20588)"
        }
      }
    }
  }
}