Norwich, the only side involved in the draw who were in the Premier League last season, will travel to Luton in the first round of the Carabao Cup.
Fellow relegated sides Bournemouth and Watford will join the competition in the next round, along with other top flight clubs not involved in European competition.
Brentford host Sky Bet Championship newboys Wycombe as they look to shake off the disappointment of losing the play-off final to Fulham.
The ties are scheduled to be played over the weekend of the of September 5-6. The competition will open the season for clubs with the league campaigns starting on September 12.
Other standout matches see Newport meet Swansea at Rodney Parade in a Welsh derby and Harrogate travel to Tranmere for their first involvement in the competition after promotion from the National League last season.
Fellow promoted side Barrow head to Championship side Derby
New Birmingham boss Aitor Karanka will face Cambridge at St Andrew’s, Cardiff, who lost in the Sky Bet Championship play-offs last season, head to Northampton and Millwall travel to Crawley.
Dean Holden welcomes Exeter in his first game as permanent Bristol City manager and Paul Lambert’s Ipswich play Bristol Rovers at Portman Road.
Sheffield Wednesday travel to Walsall, Huddersfield go to Rochdale while Blackburn, the 2002 winners, will host Doncaster.
Wigan, relegated to Sky Bet League One after going into administration, head to Fleetwood and Nottingham Forest visit Barnsley.
Preston host Mansfield, Huddersfield go to Rochdale and Middlesbrough welcome Shrewsbury.