Carabao Cup holders Newcastle will start the defence of their crown at home to League One Bradford in the third round.
League Two Grimsby Town will travel to Championship Sheffield Wednesday after shocking Manchester United in a spectacular penalty shootout win at Blundell Park.
Manchester City will take on League One Huddersfield Town at the Accu Stadium while Arsenal will travel to Port Vale.
The third round fixtures will take place across two weeks, beginning on 15 and 22 September with Champions League and Europa League fixtures also scheduled during this period.
Carabao Cup third-round ties
Port Vale v Arsenal
Swansea v Nottingham Forest
Lincoln City v Chelsea
Tottenham v Doncaster
Brentford v Aston Villa
Huddersfield Town v Manchester City
Liverpool v Southampton
Newcastle v Bradford City
Sheffield Wednesday v Grimsby Town
Wolves v Everton
Crystal Palace v Millwall
Burnley v Cardiff City
Wrexham v Reading
Wigan v Wycombe
Barnsley v Brighton
Fulham v Cambridge