Holders Glentoran will face Queen's Unversity as they start the defence of the Co-operative Insurance Cup.
Other first-round ties on 18 September include Coleraine's clash with Glebe Rangers and Linfield's tussle with Killymoon Rangers.
Warrenpoint Town will face Crusaders with Cliftonville taking on Larne and Glenavon hosting Portstewart.
Banbridge Town meet Ballymena United while Lisburn Distillery will take on Armagh City.
Newry City host H&W Welders, Knockbreda will play Portadown, Dungannon Swifts face a trip to Dergview with Tobermore United taking on Donegal Celtic.
Ards will play Moyola Park with Sports & Leisure hosting Institute.
In two all Irish FA Championship ties, Carrick Rangers will play Bangor with Loughgall hosting Ballyclare Comrades.
Glentoran defeated Coleraine on penalties in last year's decider after the game ended 2-2 after extra-time.
Round three ties will take place on Saturday 23 October with the quarter-finals scheduled for Saturday 4 December.
The semi-final will be played on 1 February and 2 February with the final on 2 April.
Second round ties
Queen's University v Glentoran
Armagh City v Lisburn Distillery
Larne v Cliftonville
Carrick Rangers v Bangor
Loughgall v Ballyclare Comrades
Tobermore United v Donegal Celtic
Glenavon v Portstewart
Newry City v H&W Welders
Banbridge Town v Ballymena United
Linfield v Killymoon Rangers
Warrenpoint v Crusaders
Glebe Rangers v Coleraine
Ards v Moyola Park
Sport & Leisure v Institute
Knockbreda v Portadown
Dergview v Dungannon Swifts
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