Let me give you a general idea. First provide proof that you and your mother have a mother-child relationship. Second, the recipients, that is, your mother and adoptive father, will write a written agreement to accept your account, and you will also write a written application to move your account to your mother. You'd better go to the police station for detailed consultation.
In principle, you go back and forth from where you came from. Of course, everything is artificial. You'd better go to the police station for consultation. That's the most authoritative.