Try looking at the terminal near the robot that extra loot goes to (forgot name). Its to the left and out of the way, but it has previous quests either abandoned or simply forgot to grab. I see the chaperone quest for it in there when I'm on my hunter.
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I tried, got the quest after deleting it, but still won't register the kills. No matter how many void kills I get, it still shows 0 percent. Thanks for the suggestion though