Green Bearings - 8.75 rear end

Just install one axle all the way in without nuts, slide the other one in and see if it pushes the first one out.
When I installed them, both axles went flush to the backing plate. I can test it the way you mentioned, that's a good way. I can have somebody hold one axle in by hand firmly against the backing plate, then I can push the other in and see if it reflects on the other.