SELECT 
  * 
FROM 
  cscart_mb_salvage_cases 
WHERE 
  auction_product_id IN (
    23663, 23664, 23665, 23666, 23667, 23668, 
    23669, 23670, 23671, 23672, 23673, 
    23674, 23675, 23676, 23677, 23678
  ) 
  OR sale_product_id IN (
    23663, 23664, 23665, 23666, 23667, 23668, 
    23669, 23670, 23671, 23672, 23673, 
    23674, 23675, 23676, 23677, 23678
  ) 
ORDER BY 
  updated_at DESC, 
  case_id DESC

Query time 0.00031

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 (23663,23664,23665,23666,23667,23668,23669,23670,23671,23672,23673,23674,23675,23676,23677,23678) or cscart_mb_salvage_cases.sale_product_id in (23663,23664,23665,23666,23667,23668,23669,23670,23671,23672,23673,23674,23675,23676,23677,23678)"
        }
      }
    }
  }
}