I'm not familiar with Easy Battery Saver... What sort of structure does its functioning have?
Does it toggle mobile data / WiFi?
Does it do this on a regular schedule (e.g. 0:00, 0:15, 0:30, etc.)?
Does it toggle the system's master "background sync" setting? On a regular schedule or "sort of every 15 minutes, give or take, can be between and 20"?
If I knew more, I might be able to think of something.