This meaning refers to a victory so one-sided that the losing side is completely overwhelmed.
The match ended in a rout.
The army suffered a humiliating rout.
This old-fashioned meaning refers to a noisy, unruly, or disorganized group of people.
A drunken rout gathered outside the inn.
The guards dispersed the rout.
This meaning refers to winning so decisively that the opponent is overwhelmed or forced to retreat.
The home team routed its rivals.
The army routed the invading force.
This meaning refers to driving, frightening, or compelling someone or something to leave a location.
The police routed the gang from the building.
Dogs routed the animals from their hiding place.