if it is a registered trademark, when the registration is approved, each trademark has a corresponding commodity, and it can only be used on which commodity it is approved for use.
if your company's goods and packaging have different trademarks, you can label them separately, but it's best not to make users misunderstand.
if the company's outer packaging itself does not have a corresponding trademark, then when two trademarks are marked on a commodity, we must pay attention to which trademark is used in the commodity, that is, it is best to promote one trademark, and the other simply means that the company has another trademark (which can be marked at the manufacturer's place).