In the application for trademark registration in Chapter II of the Trademark Law, the content you asked has been clearly stated:
Article 19 When applying for trademark registration, the category and name of the goods using the trademark shall be filled in according to the prescribed commodity classification table.
Article 20 Where an applicant for trademark registration applies for the registration of the same trademark on different categories of goods, he shall file an application for registration according to the classification of goods.
Article 21 Where a registered trademark needs to be used on other goods of the same class, a separate application for registration shall be filed.
Article 22 Where the logo of a registered trademark needs to be changed, a new application for registration shall be filed.