Lenovo A916 Power Manager App Fails
Problem solved, problem was caused by SuperSU root manager. After changing SuperSU to KingRoot it works fine. Weird.

I've tried different SuperSU settings, reboots, etc, but non of them seems to solve this issue. I got weirded out after trying this Lenovo app on my Alcatel tablet... it works perfectly fine there, with KingRoot, so I changed SuperSU to KingRoot on my Lenovo device and it works.