The company no longer exists, and the Trademark Office can cancel the trademark in its name at any time. It cannot be auctioned because the main body of the company no longer exists.

The ownership of the trademark will automatically disappear. However, you can apply to the court for transfer or auction. Whether the court agrees or not depends on the specific circumstances. If the court agrees, you can apply to the Trademark Office for transfer. The transfer fee is generally 1,500 yuan per item, and you need to bear the cost yourself.