Im 21 an I live home with my mom but she trying to take my child dad to count. So she can take his rught away can she do that?

Wait, let me see if I'm right...

You are 21 and you have a child. You and your child live with your mother. Your mother is trying to take your child's father to court to remove his parental rights.

If that is the correct scenario... No she can't do this. Depending on where you live, you may not be able to have his rights terminated as courts are reluctant to do so unless there is a step parent waiting to adopt.

ANY question on law needs to include your general locale as laws vary by area.

You might find this helpful
https://www.askmehelpdesk.com/family-law/signing-over-rights-read-first-116098.html

Does your mom have custody, Perhaps you were much younger when you had the baby and mom got guardianship of the child, or you allowed it ?