Since that supply is floating you will need to link the 0v from 12v supply to the 0v of the amp supply. You can do this just by linking the -in to the 0v on the VU2 inputs.
With the VU 2 inputs you mean the +/- connection for the power supply, correct?
As I presume the -in is the shield of the unbalanced signal coming from the amp 0v already?
Yes that's right.
I only used a balanced cable between the RCA and the volume pot.
An inner conductor lies together with the screen on the RCA input on GND and the screen on the potentiometer is open, there is only one inner conductor on the pot GND and the other on pot IN.
From the potentiometer it goes once to the amplifier pcb and once to the VU2 buffer. And you're right, the two lines are coaxial with only one inner conductor
But as explained above no extra power supply is really needed.
Yes, great, I really like the idea of using just one power supply.
There are +/- 29 volts after the rectification, I just assumed that a regulated power supply, a regulated voltage for the VU2 must be used.