The Bhoys took the lead courtesy James Forrest in the 49th minute before the French-born Malian wrapped up the victory with a second from the penalty spot as Brendan Rodgers' side secured their first trophy of the season.
And the ecstatic striker believes the Celtic Park outfit deserved their win against the Steelmen.
“We showed once again that we were better than the opponent and that’s important for us and we were happy to win the game and add the trophy to our list. It feels great," Dembele told club website.
“The game was good. We controlled it over the 90 minutes and we deserved the win. At the break, the manager just said keep doing what you are doing and the goal would come and it did.
“We knew they would start to get tired as we held on to the ball and that’s what happened.
“When you win a trophy you have to celebrate it as we work hard for it.”
Dembele who scored 32 goals in all competitions last term missed the opening two months of the season with a hamstring injury.
However, the 21-year-old has been impressive since his return, scoring eight goals in 15 appearances for the Bhoys so far this term.
And the forward will be looking to continue his impressive form when Brendan Rodgers’ side trade tackles with Motherwell in Wednesday’s Scottish Premier League encounter at Fir Park.