I have a Mi box and the batteries on my remote drain out in about 3 days. I'm not sure if it's a hardware problem on the remote or some sort of software/setting on the box that constantly keeps the bluetooth connection on. Did someone have a similar problem on this or any other box ?
The battery on these for me (3 boxes) lasts a long time (6+ months), even with daily use. I don't think there are any settings that you can change, so not sure what is wrong with your one. I did buy a cheap (non-genuine) PS3 bluetooth remote years ago and it used to chew through batteries every few days (do you have a third party remote?)