Is it my face for my boyfriend to give my cousin a good gift?

Yes Usually, a boyfriend giving a gift to his girlfriend's home is a way to show respect and concern, and it is also an opportunity to show his family background and economic strength. If you feel that you are valued and recognized by your boyfriend, then he may give your cousin a gift out of kindness or courtesy, not just to protect your face. Of course, the specific situation needs to be judged according to your relationship and experience.