My younger sis and I don't get along. I don't think we can stand each other. I don't think she likes..?

me very much and I, on the other hand, tdon't like how she behaves and think she is quite disrespectful to me and she acts "too big for her britches. We both don't trust each other and we don't speak on a regular basis. When we do see each other, the conversation is minimal and superficial, lacking substance, feeling, and love. We were not always like this. I have too much pride to sort this out. and I think she is the same way or she just does not give a damn. I feel; as the older sibling that she should apologize for her rudeness and disrespect, etc., but knowing her, that will never, ever happen. What should I, as the older sibling do, if anything? ( I too have pride and feel she should make the first move as a younger sibling and show respect).