Cliftonville will start their bid for a fourth straight League Cup success when they take on Dundela next month.
The Reds will host the Championship side on 2 September in one of 16 second-round matches as minnows get the chance to take a big-name scalp.
Linfield entertain Glebe Rangers while Premiership champions Crusaders have a Seaview meeting with Knockbreda.
Glentoran face the PSNI, Portadown are away to Larne and Glenavon will play Annagh United at Mourneview Park.
JBE League Cup 2nd round
Tuesday, 1 September
Moyola Park v Ballymena United
Limavady United v Bangor
Institute v Sport & Leisure
Larne v Portadown
Newington v Dungannon Swifts (2 Sept)
Dergview v Ards
Dollingstown v H & W Welders
Cliftonville v Dundela (2 Sept)
Glenavon v Annagh United (15 Sept)
Glentoran v PSNI
Ballinamallard United v Banbridge Town
Warrenpoint Town v Lisburn Distillery (2 Sept)
Coleraine v Ballyclare Comrades
Carrick Rangers v Lurgan Celtic
Linfield v Glebe Rangers
Crusaders v Knockbreda