Olli Jokinen, Blake Wheeler, Devin Setoguchi and Michael Frolik also scored as Winnipeg snapped a five-game losing streak and handed Maurice a resounding victory in his first game behind the Jets' bench.
He took over after Claude Noel was fired Sunday amid the team's season-worst skid. It was Maurice's first NHL game since being fired by Carolina in November 2011.
Ondrej Pavelec earned the decision with 18 saves.
Oliver-Ekman Larsson scored for the Coyotes, who fell for fifth time in six contests.
Mike Smith was lit up for all five goals on 38 shots.
Members of Congress to keep receiving porn magazine
Putin thinks Obama would save him if he were drowning