Rebecca Hall, Erica Morrow and Juanita Ward each scored 11 for the Orange (19-8, 6-8).
"It was just a matter of executing what we do in practice," Hayes said.
Charles scored only one point in the 18 first-half minutes and didn't get her first rebound until 4:23 remained, long after Moore had her double-double.
"Tina was in the lane, but they were committed to putting a couple of people around here," Auriemma said. "There weren't a whole lot of shots to get because the other two guys were taking them all. But she played great defense in the first half. There were times when you couldn't get near the basket against us."
Hayes scored 12 of UConn's first 19, including 10 straight points that carried the Huskies from a 9-3 lead to 19-9 with 13:21 to play. Moore then scored the next nine for UConn, which led 28-19 with 7:45 left in the half.
Hayes and Moore combined for 27 consecutive points over 12:44 after a Charles free throw tied the score at 3.
"To be honest, we are not even aware things like that happen," Moore said. "We're just out there attacking, trying to be aggressive."
After baskets by Kaili McLaren and Caroline Doty, UConn had its first 11-point lead (34-23). Moore's two free throws with 1:23 to play widened the margin to 20 at 49-29.
Syracuse committed only six first-half turnovers. But even without much help from Charles, UConn crushed the Orange on the boards (50-30).
The game was played in relative calm until Morrow was ejected with 12 minutes to play for taking a swing at Hayes during a scrum for a free ball. Told by the UConn bench that Morrow had thrown a punch, the officials turned to the television monitor and saw enough proof.