SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    22447, 22448, 22449, 22450, 22451, 22452, 
    22453, 22454, 22455, 22456, 22457, 
    22458, 22459, 22460, 22461, 22462
  ) 
  OR sale_product_id IN (
    22447, 22448, 22449, 22450, 22451, 22452, 
    22453, 22454, 22455, 22456, 22457, 
    22458, 22459, 22460, 22461, 22462
  ) 
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 (22447,22448,22449,22450,22451,22452,22453,22454,22455,22456,22457,22458,22459,22460,22461,22462) or cscart_mb_salvage_cases.sale_product_id in (22447,22448,22449,22450,22451,22452,22453,22454,22455,22456,22457,22458,22459,22460,22461,22462)"
        }
      }
    }
  }
}