It seems to drain battery slower if your Mac supports Bluetooth 4.0 Low Energy mode.
Then again, I've seen a claim that the Magic Trackpad 2 uses a Bluetooth 3.0 chipset internally so it wouldn't even know what Low Energy mode is.
But just in my own testing: With a Mac Pro 2009 upgraded to a Bluetooth 4.0 Low Energy card, I seem to remember that the Magic Trackpad 2 was draining slower than my MacBook Pro 2010 with Bluetooth 3.0 card.
I lose about 10% per day on the Magic Trackpad 2 + MBP 2010 combo. I think it was only 5-8% when used with the Mac Pro with Bluetooth 4.0.
The Magic Keyboard, on the other hand, drains VEEEEERY slow even on the MacBook Pro 2010. So that one works perfectly.
Both the MT2 and MK will go into sleep mode when not touched for a while, so you don't need to worry about turning them off manually. When you press a key/tap the touchpad, they wake up and re-pair with the computer.
My solution for the MT2 battery drain on MBP was to connect it via the lightning cable at all times, and only use the keyboard wirelessly. Works fine for me. I prefer to keep my MT2's battery living long, and don't want to be charging it once a week, because that would rapidly kill the battery (which has something like 500 cycles max before it's bad, aka 500+ weeks if charging once a week). Then again, I guess when I think about it, there's no problem with a 500 week lifetime, since that is nearly 10 years.
In short: Yes the Magic Trackpad 2 seems to drain a bit faster if the host computer lacks Bluetooth 4 (which is listed as a requirement for the trackpad even though it works without that), but it's no big problem, and you can connect it via lightning cable to keep it at 100% battery at all times if you want to. As for the keyboard, it works perfectly no matter what.
Edit: I see that the thread starter uses a 4k iMac and that it has Bluetooth 4.0. Odd, I guess the Magic Trackpad 2 eats battery even with BT4.0 Macs. Maybe I just never noticed it on my Mac Pro since I often plugged in the cable to charge it without checking the levels... Well, in this case, just enjoy it even if you Mac is old and don't worry about the battery drain, it's apparently normal to go down in a week of heavy use.
Edit: People say that they get much better battery life when turning them off at night/when away from computer. I guess I will try that. Maybe it uses quite a bit of energy to keep waiting for a tap.