How do followers move with the player when using a carriage or fast travel?

[TheXXI]

Is it just using moveTo() or something more complex? 

I'm using the Nether's Follower Framework, and I couldn't find anything in the mod's scripts or the base game's scripts.

Edited July 5 by TheXXI

[PeterMartyr]

The Game Engine handled it nothing to do with papyrus

 

 

[Qvorvm]

More specifically, it is part of the Follow procedure in the actor's current AI package.