Rotherham United 1 Accrington Stanley 2: Millers knocked out of League Cup
The tie looked to be heading to penalties after Kieran Sadlier’s 76th-minute strike cancelled out Dion Charles’s first-half opener.
But Bishop made no mistake with four minutes to go after Vicktor Johansson was unable to push away a Joe Pritchard shot.
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Hide AdStanley had shown their intent early with loan man Rai Edmonds-Green having to clear a Matt Butcher header off the line.
Charles gave the visitors a deserved lead when he drilled a powerful shot past Viktor Johansson seven minutes before the break.
Sadlier and Freddie Ladapo had shots well saved by Savin either side of half-time.
Pritchard wasted another chance for Accrington when he fired wide after having plenty of time on 54 minutes.
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Hide AdSadlier fired over from a rebound before he and Oliver Rathbone had shots charged down as Rotherham ramped up the pressure.
And it paid off when Sadlier fired in a beautiful 25-yard free-kick on 76 minutes.
But it was to no avail as Bishop slotted home to consign the Millers to an early cup exit.
Rotherham United: Johansson, Ihiekwe, Edmonds-Green, Mattock, Sadlier, Barlaser (Ogbene 45), Odoffin (Ben Wiles 68), Rathbone, Ferguson, Kayode, Ladapo (Smith 60). Unused substitutes: Harding, Miller, Lindsay, Chapman.
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Hide AdAccrington Stanley: Savin, Sykes, Nottingham, Burgess, Rodgers, Butcher, Pell (McConville 78), Morgan, Pritchard, Bishop, Charles. Unused substitutes: Trafford, Mumbongo, Procter, Leigh, Perritt, Nolan
Referee: W Finnie (Bedfordshire).
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