If you’re skilled enough, and have a decent amount of health or skill… you can lure a thylacoleo into a gate trap. Place down 3 dino gates with 2 doors and only enough room for you to get through, then locate the tree kittens and draw their attention, get it in the gate and close the gate, then you can more easily knock it out without risk of it escaping before you do.

Works best where they spawn on the ground like in the snowy mountains on The Island.

This might not be efficient or easy but it’s fun XD