The Prophet salla Allahu alaihi wa sallam has told us that whoever doesn’t pray at all is not a Muslim. Therefre, it appears that your sister is not a Muslim anymore and that you should start with her from scratch. You should reason with her and talk to her in logic as she doesn’t believe in the Quran or in Islam.
Try to talk her into confessing of the existence of Allah, the Creator of this universe and of His beautiful names and attributes such as the Wise, the all knowledgeable and the Strong.
Once she acknowledges this fact, then you can go on to say that it can’t be that such a supreme being creating such perfect creation and not tell His creatures what He wants from them. it is like Sony making a sophisticated electronic device without printing a user’s manual.
Then talk about the Messengers of Allah concluding with our Prophet and the Quran.
This might help.