When you say pushes back, does it move your foot, or you just feel increased pressure?
Its fairly normal for you to feel increased pressure. When the engine is running, the booster is pushing the master harder than you are, so to speak.
While the booster is supposed to hold vacuum when you switch the engine off, that is when its not being used.
If you hold the pedal down when you switch it off, you will bleed off the vacuum, I think.
With no vacuum, you get the full feel of what the booster was doing. To check the booster vacuum hold, crank the engine, run it a few seconds, turn it off, wait a minute or so, then try the brakes.
You should still have boost.
I suspect what you are feeling is normal. Not to say you don't have a problem, you obviously do, but that might not be a symptom.
I would walk outside and check my truck, but I am in the middle of one of our famous Florida thunderstorms, and it might literally kill me to go outside right now.
A tree across the road took a hit a few minutes ago. I checked out the window, no fire, but it looks like part of the top may be gone.
If your foot actually gets pushed back, then I suspect air in the system somewhere, no matter how many times you bled it or how.
A full hydraulic system, deadheaded, can have lots of pressure, but no flow. When you press the pedal, the shoes and pads move out to their stopping point. After that, the harder you press, the harder they press, but almost no fluid moves, because they do not move more than a tiny amount.
The rubber lines expand slightly, the friction material compresses a little, and the drums expand slightly and even the disks compress a very tiny amount.
But there should be very little movement. When you release the pressure, nothing should push back much.
If there is air, it will compress a lot when you press the pedal, and then expand back to its original size when you release the pressure.
Quick and dirty way to check, especially if you have the old steel top master, is to press the brake pedal down hard with the top off.
Usually without the booster helping.
Then release the pedal suddenly.
You might see a small movement in the fluid. If you see a jet of fluid shoot up from the master, you have air in that side of the system.