How can a Muslim woman revive faith in her home and educate her mother and sister about the duties of religion, especially regarding the hijab, given their refusal to listen and be convinced?

There is no harm in expressing your opinion to your mother regarding a religious matter if she has erred in it, provided you choose the appropriate manner and time. You can both agree to listen to lessons and lectures that correct misconceptions, and encourage everyone to attend lessons in mosques and educational centers. Teaching religious matters at home is not exclusive to you; rather, everyone who possesses knowledge must teach the ignorant, as this involves taking the initiative to condemn wrong and educate the ignorant.