The various multi-verse theories only try to account for the way a particular universe came into being, not how it evolved.
I don’t think that I have heard of the particular theory that you describe:
The latest one has the multi-verse composed of an infinite number of infinite universes with 4 dimensions. They form the border of the 5th dimension, which is finite. The rest of the dimensions are "rolled up". They may provide the bounds for the hadrons (whenever they exist).
So one day a couple of the universes bumped into each other, heat was created and that precipitated the hadrons
The last theory I read up on suggested that our universe has 11 dimensions, with most of them “rolled up” so that we cannot see them. When a black hole forms in our universe, the 4 dimensions that we know just kinda roll up so that we can’t see them anymore. But nothing leaves our universe.
This one draws on string theory, but they article puts in a couple of reasons of exactly why the inflationary model is inadequate - this has to do with observations made recently. Remember, just one observation that doesn't match a model and you have to toss out the model!