Get a creature that can move faster than a Yutyrannus. I recommend a Thylacoleo with some levels into speed (since he can climb up the mountains and defend himself.) Start tranquilizing the Yuty. Most of the time he’ll be distracted by other creatures so he’ll be pretty easy to tranq. Once he starts running chase after him and shoot simultaneously. Once he’s knocked feed him some meat to tame.
It really is that simple though, they can't reach you or your flier on a big enough rock, so if you don't want to make a trap you can just shoot down from a rock or cliff once the carnos are dealt with. Be ready for a goose chase once it starts running.