I can't see everything in your pics, but start with one piece at a time.
The Audio Control LC2i Pro technic pnp was powered from the battery, so you know it has power, you just need it to turn it on.
They have a post on how to trigger the unit, it has 3 methods
https://www.audiocontrol.com/knowled...n-on-the-lc2i/
Also did you read the entire instructions for the LC2i?
I would guess that you should use a 12v trigger mode.
Once you get it working with a known trigger, then move on.
I would contact the technic pnp for guidance on thier wires.
I would guess that one of the short wires can be used as a 12v trigger, multi meter would be used determine that when the technic is powered.
Not sure if this helps
Not sure if this video is of any help