Firstly, please note that, as I have replied in detail to an earlier question (Can mother file domestic violence case against son and daughter in law?), it is possible under law for a mother-in-law to file case against her daughter-in-law under the provisions of the Protection of Women from Domestic Violence Act if the facts of the case support such a case. Therefore, technically, it is possible for your mother to file a case under the above Act against your sister-in-law.
Secondly, your mother can also file a case under the relevant provisions of the Indian Penal Code (IPC) for the beating / torture, as mentioned by you in your question. Depending on detailed facts of the case, if a cognizable offence is made out, you can file the complaint / FIR with the police station, otherwise a private complaint case can be filed with the Magistrate court.
Dr. Ashok Dhamija is a New Delhi based Supreme Court Advocate and author of law books. Read more about him by clicking here. List of his Forum Replies. List of his other articles. List of his Quora Answers. List of his YouTube Videos.