It is clear that if you push on some object, there is reaction of the same force. But is it the same energy? Thanks a lot.
No. First of all, I'll take this version of Newton's third law changing force by energy:
You should see that it doesn't make sense to treat energy as a force, because it's not a vector.
But even if you talked about transference of energy, it wouldn't make sense. Think of a hot body heating a cold body. By your reasoning, the cold body would be heating the hot body too!