How to make my family accept homosexuality?

Whether you accept the idea or not depends on your own opinion. In your mother's mind, homosexuality is not accepted. This idea has been deeply rooted in her heart, so no matter what you say, it is difficult to change her mind. If your mother asked you to agree with her that homosexuality is abnormal, would you accept it? You certainly don't accept it, because you don't think homosexuality is abnormal in your heart, because you and your mother are different in cognition, feelings and concepts, so no matter what you say, it is difficult for your mother to change your mind. Seriously, most people who don't accept homosexuality are the older generation. The later generation is open-minded and gradually willing to accept homosexuality.