The stalemate ensured the Louth side progressed to a last-eight meeting with Barnoldby or Immingham Town Reserves after winning the first leg 3-2 seven days earlier.
Alford Town booked their place in the semi-finals after they were handed a walkover by Susie’s Star.
But Sutton Rovers race in the cup is all but run after a calamitous first leg at home to Tetney Rovers.
The Division One runners-up won 13-1 to book their quarter-final place barring an unlikely turnaround this weekend.
Elsewhere, Louth Old Boys Reds made a winning start to the Tim Sales Trophy when they beat North Somercotes United 5-3.
Jordan Tebbs bagged a hat-trick, while Bailey Wright and substitute Sam Eggleston were also on target.
But Louth Old Boys Vets went down to a 7-1 defeat at GB Kitchens in their first group game, while Alford Town Reserves lost 2-0 at home to Marsh Rovers.