The England international failed to find the net from a few yards out at Turf Moor at a pivotal moment in the game, allowing the Clarets to rescue a shock 1-1 draw.
Sterling had no such problems in the 5-1 win over Leicester on Saturday evening, though, converting a Kevin De Bruyne pass from a near identical position to the one in Lancashire seven days ago, before Sergio Aguero took over with four goals of his own.
Speaking to BBC Sport after the match, the 23-year-old confessed that he was relieved to put the sitter behind him.
"The game seemed like it came forever to come around after the Burnley result," he said. "I couldn't wait to get back out there and get another chance to make amends for my miss.
"Especially at home we come out real quick and try to be direct. I think we played brilliantly today. The boys did really well and of course Sergio Aguero was a different class today.
"He's a phenomenal striker. He scores all different types of goals - tap-ins, cheeky chips and screamers - and we've seen that today. It was always going to be a matter of time before he overtook my goal tally [for the season]."
Sterling has scored City's two quickest goals in 2017-18, doing so after 38 seconds against Watford and 125 seconds against Leicester.