After the exotic engram you get the next quest step which is to kill 10 Fallen on Nessus using the Drang sidearm that you've gotten earlier.
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Nope. That quest step is: Decode 5 Legendary Engrams Decode 1 Exotic Engram Kill 10 Fallen on Nesus with Drang And Exotics Engrams are not accounted, from neither source.
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Now read my post, and read your post. We are saying the same thing. Shoot 10 fallen with Drang on Nessus after doing the Exotic engram.