This is the pin out on the schematic for that connector on the motherboard:
Anything not grounded should connect to the 5V output of the power supply. The AUX board is the same except 12 V power should be applied to those pins, and 5V at the same pin specified, and a few pins are not connected as there are only 3 PWM channels to power.
If you apply the incorrect power/grounding at these pins, it could destroy the parts/boards - be extremely careful.
You can refer to this picture from the eVOLVER NBT supplement for how it should look:
In this picture, red is 5V, orange is 12V, and brown is ground. I also just noticed looking at this picture that the top and bottom are flipped - no orange cables should go into the motherboard, and every pin should be connected for the motherboard connector.
I recommend using a multimeter continuity check to make sure you’re applying the right power to the right pins, ie touch one lead at one of the connector pins and the other to the place you want to connect it to, the multimeter should make a beep. Don’t do this while the device is powered on though.
As a precautionary note, please be extremely careful when dealing with AC power. Never handle the connectors/cables while AC power is turned on. If you are unsure about a connection, do not power it on as it could cause damage to the eVOLVER. I usually just have everything unplugged completely from the wall if I need to modify the cables.