Authoritarian parents refer to parents who make arbitrary rules, expect unquestioned obedience from their children, punish transgressions, and value obedience to authority, parents who demonstrate high parental control and low parental warmth when interacting with their children.
Other /More definition:
Authoritarian parents are parents who enforce rigid rules and demand strict obedience to authority.
Lexicon of Psychology - Terms, Treatments, Biographies,