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.
Millions of Getty images now available for free via embed tool
Boston schools pull out free condoms over wrapping complaints