Goals from Freddie Hinds, Bobby Reid and Niclas Eliasson put the visitors through to the third round. Watford finished with 10 men after Jose Holebas was sent off.
Manchester United clawed back from a goal down to beat Leicester City in a 2-1 fourth-round FA Cup victory on Friday at Old Trafford, thanks to a last-gasp controversial header from veteran defender Harry Maguire plus a strike from Joshua Zirkzee.
City, who have dished out a string of maulings in a stellar league campaign, found the Championship side a tough nut to crack and had to wait until the 92nd minute to grab the winner when Argentine substitute Aguero darted in to head home.
Fulham fought back from a goal down to claim a 2-1 win over Arsenal on Sunday when strikes from Raul Jimenez and Bobby De Cordova-Reid foiled Bukayo Saka's early goal.
Arsenal were held to a 1-1 Premier League draw by London rivals Fulham on a grey wet Sunday at Craven Cottage as Raul Jimenez scored early for the hosts and William Saliba equalised for the visitors at the start of the second half.
Chelsea's new signing Gonzalo Higuain netted his first two Premier League goals in Chelsea's 5-0 thrashing of Huddersfield Town while Tottenham Hotspur's Son Heung-min struck late for a 1-0 win over Newcastle United as they moved into second place.
A deflected late strike from Lisandro Martinez earned Manchester United a much-needed 1-0 victory at Fulham in the Premier League on Sunday.
Images from Saturday's action in the Premier League.
Images from the English Premier League matches played on Saturday
Championship (second tier) side Rotherham, who haven't made it through to the fourth round of the competition since 2001-02, kept their composure early on as Fulham controlled the play.
Tottenham Hotspur and Newcastle United both sealed comeback victories to boost their European qualification hopes.
Manchester City reached the League Cup final, shattering second-tier Bristol City's hopes of a remarkable upset, as the Premier League leaders survived a late fightback to win 3-2 on Tuesday and clinch the tie 5-3 on aggregate.
Bournemouth said their search for a new manager would begin immediately and first team coach Gary O'Neil would take over in the interim. They host Wolverhampton Wanderers on Wednesday.
Bernardo Silva and Jack Grealish scored three minutes apart as Manchester City came from behind to beat Premier League newcomers Luton Town.
A summary of Tuesday's action in the Premier League.
Joint-leaders Tottenham Hotspur and Liverpool both dropped points on a busy day of English Premier League action as Leicester City and Southampton narrowed the gap in what is shaping up to be one of the most open title races for years.
Here are five talking points from the weekend's Premier League action:
IMAGES from the EPL matches played on Wednesday.
A round-up of Sunday's action in the Premier League.
Images from the English Premier League matches played on Sunday night.
Manchester City had to battle back from behind to earn a 1-1 draw against Premier League newcomers Wolverhampton Wanderers who gave the champions a real test at Molineux on Saturday.
In a gripping title race, Liverpool showed they are ready to push Manchester City right until the final seconds of this season with their spirited 3-2 win at Newcastle United.
Leicester City's veteran striker Jamie Vardy came off the bench to break his long scoring drought and earn his side a 1-1 draw with a late equaliser
India's top-five finish not a given this time
Images from the EPL matches played on Saturday
A round-up of the action in the English Premier League on Monday.
Manchester City beat bottom club Sheffield United 1-0 to move three points clear of Manchester United who were held to a goalless draw at Arsenal in the Premier League on Saturday.
A summary of Saturday's action in the Premier League.
Arsenal's inability to kill off the contest will be a frustration as that has been a hallmark of their recent form. They had won their previous 18 Premier League matches in which they scored first.
IMAGES from the English Premier League matches played on Sunday.
Sean Dyche's Burnley side looked to have secured a crucial point in their fight to move clear of the bottom three but Eriksen broke their hearts with a clinical finish for third-placed Spurs in the 91st minute.
The endorsement career of India's megastar Amitabh Bachchan displays his relevance in diametrically opposite roles and product categories.
Fulham fixed their penalty jinx as Ivan Cavaleiro's spot kick eased them out of the relegation zone with a shock 2-1 win at high-flying Leicester City in the English Premier League on Monday.
IMAGES from the English Premier League matches played on Saturday.
Manchester City claimed the win required to finally end Liverpool's relentless attempt to dethrone them as Premier League champions as they hit back from a goal down to crush Brighton and Hove Albion on the south coast on Sunday.
Manchester City displayed champions' swagger as they roared clear at the top with a 5-0 trouncing of Burnley but it was drama which engulfed their neighbours Manchester United and Jose Mourinho that dominated the Premier League agenda on Saturday.
Brighton & Hove Albion scored three times in the second half to fight back from two goals down and beat Manchester City
Rajneesh Gupta surveys the bowling landscape in India-Australia Tests.
Rodriguez whipped Everton in front from the edge of the box, and Michael Keane and Calvert-Lewin ensured it was two wins from two in the Premier League so far this season.
Mbappe and Benzema inspire France to 2-0 win against Finland
