They got so good at this tactic (which is one of the hardest to pull off, even in modern combat) that they had a special word for the manoeuvre, but my Google-fu has unfortunately failed me in trying to dig it up.
Across the few Khan and Mongol histories I've read the tactics are there, but often end up with different names. Like the only tactic that springs to mind right now is to spread out a march to stay low profile during movement. They would call that "moving tree formation", or "moving bush", or "waking tree", or some other related variation from similar root. A quick search brought me to [1], which calls it the new-to-me "bush clump tactic". This book calls your feigned retreat "Luring into Ambushes".
Translation seems to bring a lot of variation in these supposed names. So I end up entirely unsure what they really called them. :)
[1] http://deremilitari.org/2014/06/the-art-of-war-under-chinggi...
Thanks for doing the digging up on all the names :) It really is interesting how the tactic has been used and adapted over time and place, and how the names necessarily would be different depending on who you ask. I guess calling it any of the above is totally valid XD