There is no problem, but from a brand perspective, this is not conducive to brand development.

If it is a registered trademark, when the registration is approved, each trademark has a corresponding product, and it can only be used on which product it is approved for use.

If your company's products and outer packaging have different trademarks, you can use different trademarks, but it is best not to cause misunderstandings among users.

If the company's outer packaging itself does not have a corresponding trademark, then when two trademarks are marked on one product, be sure to highlight which trademark is used on the product, that is: it is best to promote one trademark , and the other simply means that the company has another trademark (which can be marked on the manufacturer).