Sean Dyche's men had a handful of chances to get themselves back into the game but were unable to make any of the opportunities count.
Jesus bags another
Following Jesus' early goal against Sheffield United last weekend, which was ultimately the goal which sunk the Blades, started off yet another game with a bang after just three minutes.
His two goals in the last two games have doubled his Premier League scoring tally for the season, proving that form is temporary but class is permanent.
Citizens will be hoping Jesus' confidence is back and here to stay, with City in desperate need of a consistent target man.
Captain Sterling leads by example
With Sterling being handed the captain's armband, the 26-year-old had the weight of the City side on his shoulders - and what a brilliant display by the winger.
Not only did he put the game to bed by smashing home City's second, Sterling's composure on the ball, and the calming influence he had on the rest of the squad, summed up a sterling performance from the captain.
Lack of attack for Burnley
Burnley's Starting XI against City on Wednesday night had a total tally of just six goals this season, with Ashley Barnes and Chris Wood both missing out.
The two main strikers in Claret and Blue, who missed out against City, make up 50% of Burnley's goals this season.
Although Burnley had chances here and there, the stand-in strikers were unable to convert against Ederson in between the sticks leading to a relatively quiet game for the City keeper.
Three is a crowd?
Aymeric Laporte managed to get into the City Starting XI for the first time since their smash-and-grab win against Cheltenham Town in the FA Cup, but was alongside John Stones and Ruben Dias this time, however.
Although it looked as though the Frenchman was playing at left-back, Laporte quickly moved into a back three which forced Joao Cancelo (and Oleksandr Zinchenko when he was subbed on) into midfield, causing problems all over the park for Burnley.
Laporte also showed his attacking threat with a couple of runs forward from defence, which was made possible by the Stones-Dias partnership still in full effect.
Tribute to Captain Sir Tom Moore
Both sides showed their respect for Captain Sir Tom Moore with a round of applause, after the Second World War veteran, who raised tens of millions of pounds for the NHS, passed away at the age of 100.
The young-at-heart hero raised over £39million as he took on a challenge to walk 100 lengths of his garden before turning 100 years old.
A touching tribute for a legend.