 In December 2019 Kasatonov was appointed deputy commander in chief of the navy.Over his career Kasatonov has been awarded the Orders of Military Merit, Naval Merit, and various medals of the USSR, Russian Federation, and foreign countries.In 2017 a museum to the Kasatonov family was opened in Belenikhino, Prokhorovsky District, in Belgorod Oblast, home of Vladimir Lvovich's great-grandfather Afanasy Stepanovich.