While reading an article, I came across this sentence
French President Emmanuel Macron has said he is sure Syrian fighters were operating in Nagorno-Karabakh, where Armenia and Azerbaijan are engaged in heavy fighting.
My question is about the part of the sentence that reads "are engaged in heavy fighting." What I want to know is what is the difference between "are engaged" and "are engaging"? Intuitively, the second one makes more sense to me.