Popovic's tenure as Victory boss started with a 1-0 win at Western United last week and an own goal from Kai Trewin under pressure from Brendan Hamill had the home side up and running after 27 minutes on this occasion.
Just four minutes later that advantage was doubled with Nick D'Agostino finishing a fine team move from close range.
It was game over shortly after the restart with Ben Folami heading in Marco Rojas's delivery, meaning Victory went top of the infant A-League table and left Roar propping up the division.
Sunday's other fixture saw Western Sydney Wanderers play out a back-and-forth 2-2 draw at home to Newcastle Jets.
The visitors took the lead through Beka Mikeltadze's 19th-minute penalty but were trailing thanks to goals either side of half-time from Bernie Ibini-Isei and Tomer Hemed.
The Wanderers were pegged back by Olivier Boumal in the 52nd minute, though, leaving both teams winless through two games.