Apologizing

I fell and spilled juice all over my sister’s room and she started yelling at me, so we got into a big argument. Then, afterwards, I went into her room and she said I could not come back unless I apologized, so I said I was sorry and she snapped at me, saying it was a fake apology. This always happens. How am I supposed to apologize if she says it isn’t real every time? Even if it is meaningful, she still says it isn’t real.