For your 2012 Lexus CT 200h, if you are seeing a check hybrid system error after installing the Curt T-Connector Vehicle Wiring Harness with 4-Pole Flat Trailer Connector # 56099, based on some googling of that error code it is likely the issue is related to the battery wire. Make sure it's attached to the positive terminal of the battery securely and no exposed wire on this circuit is making contact to anything metal. It's also possible the battery terminal wasn't tightened all the way... view full answer...
I think I have a solution to your problem. I would recommend you use a bike adapter bar like the Thule Bike Adapter Bar for Womens and Alternative Bike Frames, part # TH982XT.
A bike adapter bar is specifically designed to help you carry bikes that have odd or smaller shaped frames safely on a bike rack. The adapter bar will attach to your bikes seat post and the handle bar post.
I have attached a video showing how this adapter bar works for you to check out. view full answer...