He's connected the power wire for the screen mod and the positive wire from the battery compartment to the positive leg of the DC adapter input, in the part of the circuit before the power switch. So even when the switch is off, the board will continue to draw power from the batteries. Does the screen even turn off? I'm assuming he's done that because the screen mod needs more than 5v, but there are other places you can tap unregulated power from.
Edit: this also means he's bypassing the switching of the DC adapter to cut battery power when running on DC input, so the batteries will be receiving power too - not good.
If you remove the red wire that runs from the screen mod to the point on the GT where the red wire from the battery connects, and run it to the small top leg of the voltage regulator (Q502 - immediately below the R508 text), I think that should fix it since this part of the circuit comes after the power switch.
Before you do this it might be advisable to post some pics of the other side of the mainboard, since I can't see a ground wire from the battery compartment, so maybe there's something else funky going on underneath.