With star striker Erling Haaland absent due to injury, Pep Guardiolas side trailed to Elijah Adebayos goal late in the first half at Kenilworth Road.

But, after squandering a host of chances, City finally clicked into gear with two goals in three minutes after the break.

Bernardo Silva equalised and Grealish bagged the winner to give City a much-needed first victory in five league matches.

After their lethargic 1-0 defeat at Aston Villa on Wednesday, which followed draws with Chelsea, Liverpool and Tottenham, City were in danger of falling out of the title race.

Liverpools win at Crystal Palace on Saturday had moved the leaders seven points clear of City.

But fourth-placed City responded with a gritty display to close the gap on Liverpool to four points.

Great performance after what happened in the last results. We conceded the goal in the last minute of the first half. It was a really good test and the players reacted as they had to, Guardiola said.

That is the challenge. They are still there in the way that they run, they fight and here and behave how we behave. I am really proud.

City still have work to do to regain control of their bid for an unprecedented fourth successive top-flight title and Haalands fitness scare could not have come at a worse time.

Haaland, who had started all of Citys league matches this season, was sidelined with a foot injury that could impact his availability for the treble winners hectic Christmas schedule.

City boss Pep Guardiola said Haaland, who has 19 goals this season, noticed the injury after Wednesdays defeat at Aston Villa.

Guardiola will be sweating on his fitness with City travelling to the FIFA Club World Cup in Saudi Arabia before returning for the busy festive programme.

Its his foot, well see. Day by day, week by week. Hopefully we can recover him for the Club World Cup, he said.

Despite their lowly position, Luton have been a tough proposition at home on their return to the top-flight after a 31-year absence.

On their first visit since 1998, City were the latest star-studded side to find an inhospitable welcome amid the terraced houses that surround tiny Kenilworth Road.

City escape

Early on, Phil Foden accelerated onto Silvas pass for a stinging drive that Thomas Kaminski saved at full stretch before Silva sliced the rebound wastefully wide.

City kept coming and Alvarez poked narrowly wide from Grealishs pass, while Foden was denied by Kaminskis brave save at his feet.

By the time Mateo Kovacics blast flashed over, Guardiola was shifting uneasily on the touchline.

The Spaniard's fears were realised with seconds left in the first half when Luton grabbed the lead.

Josko Gvardiol allowed Andros Townsend too much time on the right flank and the Luton wingers cross reached the far post, where Adebayo climbed above Ruben Dias and Kyle Walker to head home.

Guardiola left the pitch in animated discussion with the officials over the goal being scored beyond the two minutes allotted stoppage time.

When Rodri side-footed woefully wide from Walkers cross in the second half, the hoots of derision from the Luton fans exacerbated Citys misery.

But Dias thumped a shot against the bar to foreshadow Citys impending revival and they drew level in the 62ndminute.

Rodri was the catalyst with a rampaging run into the Luton area and when the ball broke for Silva, he curled a fine finish into the far corner.

Three minutes later, Citys comeback was complete as appeals for handball against Julian Alvarez were ignored before the Argentines low cross reached Grealish for a clinical close-range finish.

Guardiola celebrated by sarcastically blowing kisses towards the Luton coaching staff, while inwardly breathing a sigh of relief at Citys escape. (AFP)