"Is that app still running in the background?"
My Android experience has been on par with this, except with "how can I make that app stop running in the background?"
If there's a way to easily just close an app and have it be done with, I don't know of it. Task managers I've found to be cumbersome and people tend to frown on them saying the system runs more efficiently on its own. So why is this background app listed above Bluetooth in the power manager?