I begin by saying that I was unaware of the existence of this animation. I had already experienced the classics: Troll, Gargoyle, Rieklings, Drugher, Falmer.
Then I asked myself: does it also work with horses? The animation was activated with Match Maker. 

Now, I'm going to focus on finding 3 horses in Skyrim to see if that animation exists as well. 

After modifying Match Maker, nothing is impossible (or almost) for me, animation is enough   Match Maker extended actors

EDIT :

Mod in video for animation 

SexLab and all requirements

MNC ver _11_2 and all requirements

Creature Framework v 1.1.0-pre2 and all requirements

ABC Baka Factory HDT-PE 1.34 and all requirements (And all be for rieklings, true wolf)

SexLab Match Maker v7.7 

Billyy SLAL v 3.1 with creature pack 

XPMSE latest version with HDT physics

SL Anim Loader

COSIO Full HDT (Claim of Skyrim) CBBE

Bodymorph for female : Tyrande (nude) preset for bodyslide