"Certain expectations are placed on our players both on and off the court," coach Karl Hobbs said in a statement. "They did not meet those expectations. Both Cheyenne and Miles were given every opportunity to succeed here at GW. I wish them both the very best in the future."
Moore, who transferred from Clemson in 2006, appeared in 39 games for the Colonials over two seasons, averaging 5.1 points, 1.9 rebounds and 0.8 assists.
Beatty appeared in 14 games last season, averaging 4.8 points, 1.1 rebounds and 1.1 assists.