Moore went 3-for-4 from 3-point range and Nick Russell contributed 14 points with seven rebounds for the Mustangs (11-3, 1-1 AAC).
Markus Kennedy came off the bench to provide 10 points.
UConn (11-3, 0-2) got 15 points from Ryan Boatright in losing a second straight to begin conference play.
Lasan Kromah and Shabazz Napier each scored 12 points.
Celebrity Couples of 2014 [PHOTOS]