Not sure we are using the terms the same way.
A cyclical universe theory holds that this universe bangs, spreads out for a certain amount of time, then collapses back into a singularity again, from which a new bang will occur. This used to be the theory, until we found out that instead of the universe slowing as it expands, it is actually accelerating as it expands.
The multiverse theory is the one that holds that that are an infinite number of universes that are being created all the time. It doesn't say anything about the individual universes, only that there isn't just one universe.
What I was saying is that the cyclical universe theory is no longer supported in current theory. That our universe will eventually spread out so thinly that nothing will be left. Our universe will die. This theory says nothing about the possibility of zillions of other universes continuing to exist.
Dark energy (not matter) is the force that current theory believes is pulling everything apart. It does quite the opposite of sucking everything in. Current theory is that there are two primary forces at work on the universe - gravity which wants to pull things together, and dark energy which wants to pull things apart.
In the early universe gravity was at its most powerful, dark energy at its least powerful. But after 14 billion years that has reversed. Dark energy is now more powerful that it is expanding the universe at an ever faster escalating rate. But it is not yet so powerful that it can negate the effects of gravity, which is why we still have galaxies, stars, solar systems, planets, etc. In time though dark energy will become so powerful that it will negate the effects of gravity - which is when literally everything starts getting pulled apart to the point that there is nothing left except a residual background radiation that is so diffuse as to be nonexistent for all intents and purposes.
