Team Logo. The Greeneville Reds are a team in the Appalachian League. They are the Rookie affiliate of the Cincinnati Reds. They play their games on the campus of Tusculum College. Retrieved from "https://prosportsteams.fandom.com/wiki/Greeneville_Reds?oldid=15694" Categories: Appalachian League teams Teams in Tennessee Add category Cancel Save Community content is available under CC-BY-SA unless otherwise noted.