Is there any evidence showing how the nature of time works backwards?

I do not want a debate on can we travel back in time, just is there any evidence showing how the nature of time would work backwards.

Imagine a cup on a table, it’s x height above the floor so has some positional energy, imagine pushing the cup off the table onto the floor, transferring that positional energy to the floor plus air.

Now imagine going back in time when the cup was on the table from when it was on the floor. Relative to the cup what would happen in that case would it just instantly go back on the table or would the energy go back into the cup from the floor going back up onto the table?

I want some good science not your ideas.

I would also like to know if time is relative when going back in time.