RBI owns Burger King, Tim Hortons, Popeyes, and Firehouse Subs. It does not own Domino's.Beata Zawrzel/NurPhoto via Getty Images RBI executive chairman Patrick Doyle slipped up and called Popeyes "Domino's" during an earnings call. RBI owns Burger King, Tim Hortons, Popeyes, and Firehouse Subs. It does not own Domino's. Doyle led Domino's for eight years.