Last season's runners-up Liverpool will begin their EFL Cup campaign away at Championship side Burton Albion.
Manchester City beat Jurgen Klopp's side 3-1 on penalties after a 1-1 draw at Wembley to win the cup last season.
Chelsea will face either Bristol Rovers or Bristol City, while Ronald Koeman's Everton will host League Two Yeovil.
Thirteen Premier League clubs - all of whom are seeded - join the competition in round two, as do Newcastle United and Norwich City.
The seven top-flight clubs involved in European competitions will come in for the third round.