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Newcastle United ended a 56-year major-trophy drought by winning the 2024-25 Carabao Cup
Six-time winners Manchester United will visit League Two Grimsby Town in the second round of the Carabao Cup.
United, who have no European competition this term for the first time in 11 seasons, were the final club drawn - and delivered a plum tie for David Artell's side.
League Two team Bromley, who provided arguably the shock of the first round on Tuesday when they beat Championship side Ipswich on penalties, have been handed a home tie against League One Wycombe.
There are two all-Premier League ties, with Bournemouth hosting Brentford and Wolves at home to West Ham.
Fulham will welcome Bristol City to Craven Cottage, while Brighton travel to Oxford United and Burnley host Derby County.
Meanwhile, Sunderland will entertain the winner of Wednesday night's first-round game between Huddersfield Town and Leicester City, and Leeds will visit the winner of the match between Bolton and Sheffield Wednesday.
Everton will play League One side Mansfield Town at the Merseyside club's new Hill Dickinson Stadium.
Ruben Amorim's United were one of 11 Premier League clubs introduced into the competition at the second-round stage.
The remaining nine top-flight teams are involved in European competition - Liverpool, Arsenal, Manchester City, Chelsea, holders Newcastle United, Aston Villa, Crystal Palace, Tottenham and Nottingham Forest - and will enter in the third round.
Newcastle beat Liverpool 2-1 in the final of last season's edition to end a 56-year wait for major silverware.
The EFL Cup remains regionalised in the early rounds, with the draw split into Southern and Northern sections until round three.
The 23 second-round ties will take place during the week beginning 25 August.
The final five scheduled first-round matches take place tonight, with just one other tie outstanding.
Burton Albion's trip to Tranmere Rovers was postponed on Tuesday because of a power cut and has been rescheduled for 19 August.
Carabao Cup round two draw
Northern section
Accrington Stanley v Doncaster Rovers
Barnsley/Fleetwood Town v Rotherham United
Birmingham City/Sheffield United v Port Vale
Bolton Wanderers/Sheffield Wednesday v Leeds United
Burnley v Derby County
Everton v Mansfield Town
Grimsby Town v Manchester United
Preston North End v Wrexham
Stoke City v Bradford City
Sunderland v Huddersfield Town/Leicester City
Tranmere Rovers/Burton Albion v Lincoln City
Wigan Athletic v Stockport County
Southern section
Bournemouth v Brentford
Bromley v Wycombe Wanderers
Cambridge United v Charlton Athletic
Cardiff City v Cheltenham Town/Exeter City
Fulham v Bristol City
Millwall v Coventry City
Norwich City v Southampton
Oxford United v Brighton
Reading v AFC Wimbledon
Swansea City v Plymouth Argyle
Wolves v West Ham United
Ties to be played week commencing 25 August.