Mat Jansen scored what proved to be the winner for Rovers early in the second half.
Grimsby Town: Mildenhall, McDermott, Croft, Ramsden, Crane, R. Jones, Kalala (Barwick 29), Bolland, Parkinson, Gritton, Reddy.
Rovers: Fredici (Drench 80), Taylor, Matteo, McEveley (Harkins 47 mins), Gresko, Gallagher, Flitcroft (Douglas 46), Savage (Treacy 73), Peter (Gray 36), Jansen (Johnson 62), Dickov (Derbyshire 62).