Quinn made the accusation at a press conference with high-profile attorney Gloria Allred.
McDowell, who publicly apologized after was also ordered to pay an undisclosed fine and take sensitivity training.
Gay activists demanded the Braves and MLB take swift disciplinary action with Georgia Equality demanding local action from the team, including joining an effort to stop bullying in schools. The Braves are expected to meet with Georgia Equality Executive Director Jeff Graham sometime next week.
Top photo: Atlanta Braves pitching coach Roger McDowell (via mlb.com)