First half goals from Jack Parke and Michael Funston saw the Donegal side take a comfortable lead in tough conditions in the quarter-final.
Parke’s free-kick from out right beat everyone including Newbuildings ‘keeper Adam Lamberton to make it 1-0.
The Letterkenny based side then doubled their lead through Michael Funston.
The ex-Finn Harps man capitalised on a bad clearance and his shot from the edge of the box went in off the crossbar.
The score stayed 2-0 as Bonagee had one eye on their FAI Intermediate Cup tie with Everton FC making the trip up next weekend.
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