Looking at my manual, the colors change depending on where on the wiring harness you are.
Something you need to keep in mind: the Cruze is a highly computerized car and is wired differently then older cars. The left stop light and right stop light are separate circuits. Likewise the left and right tail lights are separate circuits. And EVERYTHING is driven from the Body Control computer, not some switch that could easily handle a few extra amps. I'm not sure how happy the BCM will be with the added load of the trailer.
I'd suggest looking for an adapter that's specific to the Cruze. Presumably they've figured out the best way to do things - or at least a way that's known to work.