HOS Question

I am an Old School Trucker. I took 13 years off to help my wife finnish raising the kids. Been back in the truck for a little over a year and the company asked me to become a trainer.

My question is this. Under new HOS regs, we must stay within a 14 hour work day. Our Safety department told me that as a trainer, I must sit up and awake in the jump seat while the trainee drives. However, they also told me that if I start driving after a 34 hour reset, I can drive my 11 hours, then sit in the jump seat for another 11 hours while the trainee is driving, which would mean that my logs would show me as driving for 11 hours, on duty not driving for 11, meaning I have been working for 22 of the first 24 hours out. This seems to me that it would be a gross violation of the 14 hour rule. Can anyone "please" help me to clear this up once and for all in my own mind?

Their example is as follows..... If you go to work at a factory and load your truck for 2 hours, then drive 5.5 hours, spend 1 hour unloading and then drive 5.5 hours back, that is your 11 hours of drive time plus 3 hours of on duty not driving, and you should be able go back into the factory and work more hours. It does not compute in my head, as it would go beyond the 14 hours on duty if you were to go back in and work in the factory..... I feel like I am caught in a HOS loop here, and am feeling quite frustrated to boot.