Cincinnati Reds is a well-known baseball team, and some synonyms that could be used to refer to them include simply "Reds," "Cincy Reds," or "Redlegs." "The Big Red Machine" is another common phrase used to refer to the team, particularly during the 1970s when they were a dominant force in baseball. Additionally, depending on the context, one could use terms such as "Cincinnati baseball team," "Cincinnati ballclub," or even just "the team from Ohio." Ultimately, there are many ways to refer to the Cincinnati Reds, and the synonym chosen will depend on the preference of the speaker or writer.