Tattle.
This won't help recover your relationship with them in the short term. But can eventually bring you all onto the same page.
Preferably report nicely without a little sing-song or spiteful tone. If your mother doesn't want you to directly enforce the rules and you think the rules out to be followed get your mother to. Advise her in a reasonable way what your sisters are doing when you feel they are wrong.
Hopefully you mom will figure out this isn't the best way, and that you are capable of right judgment. If you are. It may be your mom is right and your corrections are wrong, in which case bringing each case to her attention will help you tell the difference.
Teach.
If you aren't allowed to correct endeavor to limit how much correction is necessary. Even if they don't respect your authority it is expected you have skills and knowledge they don't. Show them how that helps them.
Follow rules and remind them why the rules exist. Be correct about predicting what the outcomes of some behavior will be. Look for warning signs of trouble and offer alternatives. Prove you are fit for responsibility and it eventually will come to you.
Talk.
Tell you mom how you feel and why you think your way will work. Listen to what she says. It is often hard for parents to accurately judge what their kids are ready for, be patient. The time to have this conversation is at an otherwise quite time, not by correcting her correction of you correcting your sisters. Perhaps sometime when you are being praised (preferably in private) about being mature.
Most people get defensive when they are told they are doing it wrong, and many parents get angry at any interference with their parenting. So you have to be gentle and considerate in offering advice, doing that well maybe itself a hint that you are capable of a more active role in raising your siblings.