The Bavarians extended their lead at the top of the Bundesliga to 4 points ahead of their rival Borussia Dortmund in Sunday clash against Augsburg.
Bayern celebrated its 120th anniversary over the weekend with the players adorning their commemorative kit.
Augsburg put up stiff resistance by frustrating Bayern in the first half of the game.
Both sides settled for a goalless first half draw.
Thomas Muller broke the deadlock in the 53rd minute of play after he side footed a trademark cross from Jerome Boateng to give the home side 1-0 lead.
An Extra time goal from Leon Goretzka with an assist from Gnabry that gave Hansi Flick’s side a comfortable win.
Bayern are unbeaten in Eleven Budesliga games Including 10 wins.
Hansi Flick speaking after the Match “We knew it would be a difficult game.
“The First half, in particular, showed that Augsburg sat deep and closed space.
Bayern’s next challenge is the game against Eintract Frankfurt in the DFB pokal Semifinal clash.