Rodney-Believes said:
how is expansion causing objects to move apart?
It isn't. Expansion
is objects moving apart. It is not some separate thing causing objects to move apart.
Rodney-Believes said:
What is moving the objects apart then?
Inertia. They were moving apart in the past, so they are moving apart now. (But actually, this is a matter of interpretation; see below.)
Rodney-Believes said:
If it's not space growing, what is it?
The geometry of spacetime.
Rodney-Believes said:
that growth did not move the mass apart, and yet the mass is moving in response to that growth?
No, the mass is not "moving in response to that growth". The 4-dimensional geometry of spacetime, and the way the worldlines of the masses are laid out in that geometry, means that when you cut 3-dimensional slices out of that spacetime in a particular way (the way that is most "natural"), the masses are further apart in each successive slice.
One way to interpret this is, as I noted above, inertia: the masses are moving apart now because they were moving apart in the past.
Another way to interpret this is, as I also noted above, the geometry of spacetime: the worldlines happen to have a particular property because of the way they are laid out in the 4-dimensional geometry.
Neither of these interpretations requires "space" to be causing anything to move.
I understand that all of this seems highly counterintuitive to you. However, it works, so the only solution is to retrain your intuitions. Curved spacetime in GR simply does not work the same as your intuitions based on Newtonian physics are telling you things should work.