Thylacoleo is really not exist in ARK Mobile if you don't believe so search the saddle and please tell the developers for this and also alpha creatures and mossasour are very rare in ark mobile then pc.
The redwoods are now basically a no fly zone, I lost a quetz, and a pter to these bastards. They jump out of the tree, rip you off your mount, and then pin you and your mastercraft armor to the ground and murder you.
Easiest way to tame: make a dino pen, pick one up with an argy, put it in the dino pen then follow along with a basic taming process (knock it out, feed it). Make sure you have lots of narcotics on you!
Best thing about them: they can climb up really steep hills and they can potentially do lots of damage and can be fast.
Where to find: most commonly found on trees (they will be hanging upside down, high up on large trees) in the redwood forest areas (mainly on The Center) or I find lots of them in the Ragnorok desert.
If your looking to tame here's my way if you have a flyer that fly's decently fast has a good bit of stamina and can take a beating for example a argy fly high but not too high just enough for it to lunge at you if you do it right then you should be able to dodge the thylo and land quickly I suggest having a parachute sence it will attempt to run off so while your going down you can get a few shots in if it does manage to grab you however you could either shoot it while it has you pinned or beat it with a wooden club sence you did go out of your way to tame it if your using the club option take more than one sence thylos can take a beating I don't recommend using a taming pen sence all the recourses may slow you and your flyer down and knowing the red woods and how dangerous it is your better off using no pen but that's not saying that it is possible sence it is but your putting yourself at risk by doing this if you do build the pen then well done you just got a thylo easily