The brand of the products to be exported has been put on record at the customs, but it is not within the scope of the products for record. Do you still need to provide authorization?
No need. The customs shall implement border protection in accordance with the laws on intellectual property rights and the scope of authority for filing with the General Administration of Customs.
For example, the customs will not take protective measures to produce microwave ovens with Nike logo for electrical appliances without the right to register Nike trademarks in China and the right to file with the General Administration of Customs.