SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    23647, 23648, 23649, 23650, 23651, 23652, 
    23653, 23654, 23655, 23656, 23657, 
    23658, 23659, 23660, 23661, 23662
  ) 
  OR sale_product_id IN (
    23647, 23648, 23649, 23650, 23651, 23652, 
    23653, 23654, 23655, 23656, 23657, 
    23658, 23659, 23660, 23661, 23662
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00028

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 (23647,23648,23649,23650,23651,23652,23653,23654,23655,23656,23657,23658,23659,23660,23661,23662) or cscart_mb_salvage_cases.sale_product_id in (23647,23648,23649,23650,23651,23652,23653,23654,23655,23656,23657,23658,23659,23660,23661,23662)"
        }
      }
    }
  }
}