British media reported the deal is worth around 55 million pounds for Ghana's Mohammed Kudus, who turns 25 next month.
The 21-year-old Alejandro Garnacho's sale value is the fourth largest for a United player after Cristiano Ronaldo, Romelu Lukaku and Angel di Maria.
The win moved Juergen Klopp's side above Chelsea in the table and 11 points behind leaders Manchester City with a game in hand.
Substitute Jorgen Strand Larsen scored twice in two minutes as Wolverhampton Wanderers beat fellow Premier League strugglers West Ham United 3-2 to reach the third round of the League Cup on Tuesday.
Manchester City's Erling Haaland became the fastest player to reach 100 Premier League goals to ignite their charge on Tuesday.
Sergi Canos and Christian Norgaard scored midway through each half to spark wild celebrations by the home fans who have waited so long to take their place in their new 17,500-capacity home and even longer to watch top-flight football.
A summary of Saturday's action in the Premier League.
The 29-year-old midfielder's former club Inter Milan terminated his contract in December because the heart starter device that he had implanted is not permitted in Serie A.
IMAGES from Premier League matches played on Sunday.
Alaba strike on Clasico debut gives Real Madrid 2-1 win at Barcelona.
Isak's record Liverpool move caps Premier League's 3 billion transfer frenzy
Manchester United's Premier League match at Brentford on Tuesday has been postponed due to a number of COVID-19 cases at the Old Trafford club, the league announced on Monday.
Defender Raphael Varane scored his first Premier League goal as Manchester United returned to winning ways with a comfortable 3-0 victory over Brentford on a night of potential farewells at Old Trafford. Bruno Fernandes and Cristiano Ronaldo, the latter with a penalty, also netted on Monday, which is the last home fixture of a difficult campaign for United.
Leeds United were crowned champions of the second-tier Championship after third-placed Brentford lost 1-0 at Stoke City in their penultimate game of the season on Saturday.
Arsenal snapped a season-long jinx against Newcastle United with a nervy 1-0 win in their last Premier League home game on Sunday.
Defeat would have left Arsenal nine points behind Liverpool, who also have a game in hand, but the way they reacted to going behind suggests they can still be a factor in the title race.
A round-up of Saturday's action in the Premier League.
A round-up of Saturday's action in the Premier League.
Images from the English Premier League matches on Saturday, August 30.
Arsenal moved up to second in the Premier League and within six points of Liverpool after a largely trouble-free, if slightly pedestrian, 1-0 win at home to struggling Ipswich Town on a chilly night in north London on Friday.
IMAGES from the Premier League matches played on Sunday.
Brentford will go into the playoffs along with Fulham and Cardiff City but in a huge swing in fortunes, Nottingham Forest missed out on goal difference with Swansea City grabbing the last slot in astonishing fashion.
Winning back-to-back titles for the first time since 1984 is likely to prove a rather more arduous challenge for Liverpool.
A round-up of Wednesday's action in the Premier League
Champions Manchester City could only muster a 2-2 Premier League draw with Brighton & Hove Albion on Saturday.
The spotlight on London football usually shines on glamour clubs Arsenal, Chelsea, Tottenham Hotspur or West Ham United but rarely on unfashionable Brentford who last played in the top flight nearly 70 years ago.
Brighton & Hove Albion substitute Jack Hinshelwood struck a late winner as the hosts came from behind to grab a 3-2 victory over champions Liverpool.
A summary of Saturday's action in the Premier League.
IMAGES from the Premier League matches played on Saturday.
Ange Postecoglou ultimately paid the price for an horrendous English Premier League season which saw Tottenham finish 17th.
Forest were good value for the win, though Ipswich came close to opening the scoring midway through the first half.
Liverpool substitute Curtis Jones and Everton midfielder Abdoulaye Doucoure were also shown red cards after the game, and the final whistle sparked a scuffle between both sets of players.
IMAGES from the Premier League matches played across England on Sunday.
IMAGES from the Premier League matches played across England, on Saturday.
A round-up of Saturday's action in the English Premier League.
Images from Saturday's action in the Premier League.
IMAGES from the Premier League matches played on Sunday.
Manchester City have now won only once in 11 games in all competitions.
Fiorentina midfielder Edoardo Bove has been discharged from hospital, the club said on Friday, after surgery to implant a heart starter device.
The Premier League's big-hitters restored some normality to the FA Cup on Sunday with holders Chelsea crushing third tier Brentford 4-0 in a fourth round replay while Manchester City also dismissed Leeds United 4-0 in a fifth round tie.