This quest is still bugged.
You can kill and loot the necessary items with task updates fine.
You can turn in the few items and kill 10 more mobs with updates fine.
But then it says ? ? ? and won't update or show what that is.
According to Alla, it's to loot and turn in a Razor-sharp drake claw. And from the previous post it says from 'Grounding the Drakes' mission only.
As of now I can confirm it's bugged and not updating upon looting the claw.
I tried turning in to the NPC and he hands it back.
I tried getting one in 'Lavaspinner's Locals' as well as 'The Drake Menace' and no luck with a task update.