The Scottish leaders had won the first leg 1-0 at Celtic Park, putting them in a strong position travelling to Krestovsky Stadium, but a goal to former Chelsea stalwart Branislav Ivanovic after just seven minutes got the ball rolling for the Russians. 

Daler Kuzyaev then made it two before halftime due to a goalkeeping error.

Rogic was injured for the first leg, but made his introduction at the break as Brendan Rodgers tried to rescue the tie, but Ivanovic struck again, this time through a cross to Zenit's experienced striker Aleksandr Kokorin which made it an unsurmountable three. 

While Celtic dominated possession and Rogic attempted a worldie upon his entrance, Celtic will now have to focus on wrapping up a sixth consecutive Scottish Premier League title, a feat that seems almost a certainty.