6J7 is your harness for the Headlight/Taillight flasher.
Here is the upfitter guide for our trucks. This is for 2014 but others can be found via Google. A lot of good info in there, definitely go through it.
I'll copy the info here in case the link ever goes down, there are wiring diagrams in there also, check them out.
Pg. 97
"The headlamp flashing module is activated by the application of 12 volts to a
dark green/red wire in the upfitter harness. When the flashing module is turned on, the module sends a signal to the BCM which alternately flashes the stop lamps and backup lamps at the same flash rate as the headlamps. Depressing the brake pedal will override the stop lamp flashing and placing the transmission in Reverse will override the backup lamps flashing.
A 20-amp fuse labeled
HEADLAMP WASH protects the flasher module circuit. The fuse is located in the under hood fuse block in the engine compartment on the driver side of the vehicle. See also the Owner Manual for more information.
Activation of the headlamps flashing and rear lamps flashing can be separated by opening the
dark-blue/yellow BCM circuit at the flasher module connector,
C122-F, and applying a customer-switched ground to the harness side of the wire at the connector. Power to dark green/red wire must be off to flash rear only.
Warning: BCM will be damaged if 12V power is connected to the dark-blue/yellow wire."
I'm not sure what is spliced into your wires, it sounds like they wanted to separate front and rear flashers as mentioned above. If it was me I would cut everything off of those wires, power up the activation wire, see if the reverse lights come on, then go from there. Check the fuse for the module. Visually inspect it for issues, corrosion, bad grounds, ect...