Handwrite this apology letter carefully; don't type it on a computer.
Express your apology in the beginning of your letter:
“I am so sorry...” or “I want to apologize...”
State exactly what you did wrong early in the apology letter:
“I shouldn't have lost my temper when...” or “I have looked all over, but I'm afraid I have lost your book...”
Accept responsibility for what you did and don't blame the other person:
“I accept full responsibility for what happened...” or “I know this was completely my fault...”
Promise in your apology letter not to repeat your offensive action
Ask the injured party to give you an opportunity to prove this to them.
Suggest that the two of you get together
Meet at a restaurant or some other nonthreatening place so that you can apologize in person and begin to rebuild your relationship.
I understand it's not a letter but I don't know what your mother is like. I hope this helps and hopefully, she forgives you. Leave a brainliest if this helps.