Stevenage's reward for beating Watford in round one is a trip to a League One rival.
Boro won 4-3 on penalties at home to the Hornets in round one, after the two sides had finished level at 1-1 after normal time.
They will be on the road next though with Exeter City their destination.
The Grecians came from behind to beat Crawley Town at home last night.
The tie will be played in the week commencing Monday, August 28.
EFL Carabao League Cup 2023-2024 - second round draw in full
1.Tranmere Rovers v Leicester City
2.Salford City v Leeds United
3.Harrogate Town v Blackburn Rovers
4.Stoke City v Rotherham United
5.Wrexham v Bradford City
6.Doncaster Rovers v Everton
7.Bolton Wanderers v Middlesbrough
8.Port Vale v Crewe Alexandra
9.Nottingham Forest v Burnley
10.Sheffield Wednesday v Mansfield Town
11.Wolverhampton Wanderers v Blackpool
12.Sheffield United v Lincoln City
13.Bristol City v Queens Park Rangers or Norwich City
14.Plymouth Argyle v Crystal Palace
15.Reading v Ipswich Town
16.Portsmouth v Peterborough United
17.Luton Town v Gillingham
18.Swansea City v AFC Bournemouth
19.Fulham v Tottenham Hotspur
20.Exeter City v Stevenage
21.Wycombe Wanderers v Sutton United
22.Birmingham City v Cardiff City
23.Newport County v Brentford
24.Chelsea v AFC Wimbledon
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