Don't try to hard. That could be just as harmful. Try doing mother daughter things. Ask your mom to go to a movie with you, go get a make over together, go for walks together. Sometimes simpler is better! Gain her trust back now, it will only get harder when you get older :)
Talk to your mom about whatever you did to make her lose trust in you. Make no excuses for yourself. Whatever you did just own it and don't do it again. Trust is earned and if you're sincerely sorry let her know. Good luck!
Well. You should first try not to lie to her or show her that you will be more responsible. Depending on what you did wrong to lose her trust. Try to talk to her more do more stuff with her and don't do something wreckles . Do what she says and see if you can make it up to her.
Once trust is lost its a long, difficult process to rebuild it. It will require obedience and that you never break your word or her rules again. Youll have to PROVE yourself worthy and that wont be easy. Trust is easily broken and very hard to fix.