U can Cary this with a argy. Mine got stuck in the tip of a tree.. So I wanted to knock it off by grabbing him since dodo dex said it couldnt grab it anyway. But then it turned out I could and I flew it home instead of walked it home.
Thylacoleo are capable of pinning down flyers in mid-flight (anything but the Quetz and Wyvern, I believe), other Thylacoleo, and even Therizinos. You can also jump from object to object by holding down the jump button while pouncing from a tree or cliff (have to hit it at the right angle, however). Upvote to inform others!