First it's important to recognize that the Mongols were veterans and veterans are always more disciplined and less likely to rout. Their violent society often involved attacks/raids against other tribes, then Genghis Khan went about uniting the Mongols and conquering other steppe nomads through war. By the time the Mongols were heading out of the steppe they were all hardened veterans and these men went on to topple empire after empire only becoming more experienced and disciplined.

Carpini mentions this when talking about Mongol military organization:

When the line goes into battle, if one or two or three or more flee from the squad of ten, all ten are killed; and if all ten flee, unless the rest of the hundred flee, all of them are killed. Briefly, unless they give way together, all who flee are killed. Also, if one or two or more proceed daringly into the fight and the remainder of the ten do not follow, they are killed; and if one or more of the ten is captured and the other comrades do not free them, again they are killed.

This must have instilled an immense sense of unit cohesion and discipline.

I think OP is referring to disorganized routs after major shocks and morale losses in battle as opposed to straight retreat.

Did the Mongols rout less often when sustaining losses and under strained morale than other contemporary soldiers?