Trump adviser Katrina Pierson believes that the U.S. is a republic, but not a Democratic-Republic. In Democratic-Republics, people vote for their representatives in government. In the U.S., voters elect their lawmakers and the executive. The United States is a modern Democratic-Republic. A partial explanation for Pierson's misapprehension is that she suffers from Dunning-Kruger , as does the rest of the coterie that surrounds the Trump White House.
Model for Democratic-Republic:
Republics without voting would have been called aristocracies in the ancient world, maybe even oligarchies depending on the civic-mindedness of public body. The Roman Republic is an imperfect example of an ancient Democratic-Republic. The Senate was made up of both patricians (who were the landed-aristocracy) and tribunes (the representatives of the plebeians] [common Romans]. Beginning In 287 B.C., laws passed by tribunes were binding on all Romans, even patricians.