United, who have no European competition this term for the first time in 11 seasons, were the final club pulled out of the hat for last night's Carabao Cup draw.
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.
Everton will host League One Mansfield Town at their new stadium.
The remaining nine top-flight teams are involved in European competition, including holders Newcastle United.
Carabao Cup round two draw
Northern section
Accrington Stanley v Doncaster Rovers
Burnley v Derby County
Everton v Mansfield Town
Grimsby Town v Manchester United
Sheffield Wednesday v Leeds United
Sunderland v Huddersfield Town
Tranmere Rovers/Burton Albion v Lincoln City
Wigan Athletic v Stockport County
Southern section
Bournemouth v Brentford
Cambridge United v Charlton Athletic
Cardiff City v Cheltenham Town
Fulham v Bristol City
Oxford United v Brighton
Swansea City v Plymouth Argyle
Wolves v West Ham United
Ties to be played week commencing 25 August.
