Juergen Klopp named Philippe Coutinho as captain and the Brazilian curled a sublime effort into the top corner with the home side's first real attacking foray after just six minutes.
Aguero's absence means a likely start for Brazilian Gabriel Jesus in attack.
Manchester City have agreed a 49 million pounds deal to sign England winger Raheem Sterling from Premier League rivals Liverpool, British media reported on Sunday.
Liverpool surrendered a two-goal lead as they were held to a 2-2 draw by third-tier Shrewsbury Town in the FA Cup fourth round on Sunday after second-half substitute Jason Cummins struck twice to inject some much-needed late magic into the competition. Earlier, Harry Maguire's thunderbolt for Manchester United started a goal rush at Tranmere where the Reds scored five times before halftime. Diogo Dalot, Jesse Lingard, Phil Jones, Anthony Martial and Mason Greenwood also scored.
Liverpool were left frustrated by Championship side Blackburn Rovers who defended heroically to draw 0-0 at Anfield.
The following are talking points from the Premier League weekend:
News of all that's transpired on and off the football field
Manager Juergen Klopp has extended his contract with Liverpool, less than a year since joining the club, the English Premier League side announced on Friday.
European champions Liverpool made an emphatic start to the new Premier League season by scoring three times in the opening half an hour as they taught promoted Norwich City a harsh lesson with a 4-1 thrashing at Anfield on Friday.
Liverpool, inspired by two-goal Egyptian Mohamed Salah, took a big step towards the Champions League final with a 5-2 win over AS Roma in their semi-final, first leg at Anfield on Tuesday.
Liverpool added another fairytale comeback to the history books as they fought back from 3-1 down against Borussia Dortmund to reach the Europa League semi-finals after Dejan Lovren's towering stoppage-time header secured a 4-3 win on Thursday.
Manchester United have signed Leicester City's England centre back Harry Maguire on a six-year contract, the Manchester club announced on Monday.
Images from the English Premier League matches played on Saturday.
'It wasn't just one save -- he had a lot of things to do and did it so coolly and calmly. Still he did it, incredible, unbelievable, never saw anything like it'
A stunning strike from 18-year-old Curtis Jones gave a youthful Liverpool a 1-0 win over Everton in their FA Cup
The Champions League quarter-final between Liverpool and Manchester City is one of the most anticipated games of the season pitting the Premier League's runaway leaders against the top scorers in Europe's elite competition.
English champions and runners-up since the league restarted in the 1946-47 season after World War Two:
Bayern Munich winger Serge Gnabry has been ruled out of Wednesday's Champions League quarter-final first leg against Paris St Germain after testing positive for COVID-19 while midfielder Marc Roca will miss the game due to injury.
Liverpool's first loss of the season means they cannot finish the campaign unbeaten to match Arsenal's 'Invincibles' of 2003-04.
Manchester United will hike prices for away fans when they host Barcelona in their Champions League quarter-final first leg to subsidise tickets for their own supporters travelling to Spain for the return, the Premier League club said.
With 27 wins and 82 points under their belt after only one defeat all season, red-hot Liverpool set a record-breaking pace to leave teams behind them in their wake and are six points shy of ending a 30-year wait for the top-flight title.
Real Madrid forward Gareth Bale has a buttock muscle strain and is doubtful for their Champions League Group B match against Liverpool at Anfield on Wednesday, the club said.
News of all that's transpired on and off the football field.
'It's just a big job to do. We wanted to go as far as possible so it was clear at one stage we would face the best teams in the world. City are a special team, one of the best, if not the best team in Europe and they are deserved champions of the Premier League. But it's not about yesterday, it's about tomorrow'
Images from Saturday's action in the English Premier League.
Liverpool finished 2016 second in the Premier League with a 1-0 victory over third-placed Manchester City on Saturday.
A preview of the line-up action in the English Premier League
I feel in a very good place, physically and mentally. Every day, I feel better in this club, says Luis Suarez.
Former Liverpool and Norway left back John Arne Riise has decided to call time on his career, the player confirmed in a blog post on his official website on Monday. The 35-year-old Riise spent seven years at Liverpool, making more than 250 appearances and winning the Champions League, the FA Cup and the League Cup during his spell on Merseyside.
'For the Premier League, it would be great having the best player in the world in the league. I'm not sure the Premier League needs a boost but it would be.'
Manchester United manager Jose Mourinho has accused Liverpool of being the 'cautious team' in a dull goalless draw in their Premier League clash at Anfield.
Steven Gerrard knew it was time to leave Liverpool when he was omitted from the starting lineup for their Champions League group match at Real Madrid last November.
Mighty Liverpool were given the fright of their lives by tiny Havant & Waterlooville before beating the non-league side 5-2 in an astonishing FA Cup fourth round tie at Anfield on Saturday.
Klopp said the youngster has regained match fitness to be considered for his senior debut.
Keeper Simon Mignolet proved the shootout hero as Liverpool reached the League Cup final on penalties after a gripping last-four second leg tie at Anfield ended 1-1 on aggregate on Tuesday.
Guardiola expects this season's Premier League title race to be more open than last season's
Liverpool are calling on football fans from around the world to show their support for the 25th anniversary of the Hillsborough disaster by sending in club scarves.
Images from Wednesday's action in the UEFA Champions League.
Three months after the last ball was kicked, the Premier League emerges from the shadow of the COVID-19 pandemic this week for what will be a 92-match slog to the finish.
After five years away, Champions League drama returned to Anfield like a long lost friend on Tuesday as Liverpool beat debutants Ludogorets of Bulgaria 2-1 with Steven Gerrard scoring a last-gasp penalty.
