SELECT 
  cscart_cp_object_ship_rest.shipping_id, 
  cscart_shipping_descriptions.shipping 
FROM 
  cscart_cp_object_ship_rest 
  LEFT JOIN cscart_shipping_descriptions ON cscart_shipping_descriptions.shipping_id = cscart_cp_object_ship_rest.shipping_id 
  LEFT JOIN cscart_shippings ON cscart_shippings.shipping_id = cscart_cp_object_ship_rest.shipping_id 
WHERE 
  (
    (
      cscart_cp_object_ship_rest.object_id = 313 
      AND cscart_cp_object_ship_rest.object_type = 'p' 
      AND cscart_cp_object_ship_rest.company_id = 1
    ) 
    OR (
      cscart_cp_object_ship_rest.object_id IN (228) 
      AND cscart_cp_object_ship_rest.object_type = 'c'
    )
  ) 
  AND cscart_shippings.status = 'A' 
  AND cscart_shipping_descriptions.lang_code = 'en' 
ORDER BY 
  cscart_shipping_descriptions.shipping ASC

Query time 0.00042

JSON explain

{
  "query_block": {
    "select_id": 1,
    "filesort": {
      "sort_key": "cscart_shipping_descriptions.shipping",
      "temporary_table": {
        "table": {
          "table_name": "cscart_cp_object_ship_rest",
          "access_type": "index",
          "possible_keys": ["object_id"],
          "key": "object_id",
          "key_length": "13",
          "used_key_parts": [
            "object_id",
            "shipping_id",
            "object_type",
            "company_id"
          ],
          "rows": 6,
          "filtered": 33.333,
          "attached_condition": "cscart_cp_object_ship_rest.object_id = 313 and cscart_cp_object_ship_rest.company_id = 1 and cscart_cp_object_ship_rest.object_type = 'p' or cscart_cp_object_ship_rest.object_id = 228 and cscart_cp_object_ship_rest.object_type = 'c'",
          "using_index": true
        },
        "table": {
          "table_name": "cscart_shippings",
          "access_type": "eq_ref",
          "possible_keys": ["shipping_id"],
          "key": "shipping_id",
          "key_length": "3",
          "used_key_parts": ["shipping_id"],
          "ref": ["herbaria_cscart_4_18.cscart_cp_object_ship_rest.shipping_id"],
          "rows": 1,
          "filtered": 100,
          "attached_condition": "cscart_shippings.`status` = 'A'"
        },
        "table": {
          "table_name": "cscart_shipping_descriptions",
          "access_type": "eq_ref",
          "possible_keys": ["PRIMARY"],
          "key": "PRIMARY",
          "key_length": "9",
          "used_key_parts": ["shipping_id", "lang_code"],
          "ref": [
            "herbaria_cscart_4_18.cscart_cp_object_ship_rest.shipping_id",
            "const"
          ],
          "rows": 1,
          "filtered": 100,
          "index_condition": "cscart_shipping_descriptions.lang_code = 'en'"
        }
      }
    }
  }
}