I think vascop has a point, to be fair. It's lovely to see someone asking questions about the Universe and trying to take answers about it on board. However at some point the question you are asking either (a) has no answer even for the experts, or (b) does have an answer but it's very technical and beyond explaining in an AnswerBank post, or (c) does have an answer but you have to be a specialist in the field to understand it. In that case directing you to a book written by such a specialist is really the best place to start.
In answer to your idea of there being a vacuum outside the universe sucking it outwards -- well, that might be possible and I believe might just about fit into a plausible string theory, but you would have to be able to find a way to test this against the simpler 'Dark Energy' Theory, by experiment. I'm not convinced that such an experimental test exists. How could it? You cannot stick your head outside the universe and look. By contrast Dark Energy ought in principle to be measurable and already there are theories in which natural dark energy terms emerge. They're just either way off the anticipated value or only set to the correct value in an ugly manner that doesn't really explain anything.
Dark Energy and the problem of an apparently expanding universe that is accelerating outwards is still very poorly understood. We haven't even solved the problem of Dark Matter yet, although there may be an exciting update in that in the next month or so.
Anyway I'd head over to Jim Al-Khalili's book, or any of Stephen Hawking's, for a full and very readable account. You need far more than 4,000 characters to answer these questions, and far more than just words to explain many of these concepts.