Was ist richtig, "did damaged" oder "make damage"?
Beiden sind falsch. Weil ich Deutsch verstehe, kann ich es nicht gut schreiben, also ein bisschen Englisch dazu…
"He damaged it" is correct
"He did damage it!" is also correct, with extra emphasis on it being true.
"It took some damage" is again correct, but speaks about the damaged object, not the person doing the damaging.
If you would like more examples, please provide some in German and I will help with translation.