Having fought back from a goal down, Elijah Adebayo and Jordan Clark gave the Hatters a second-half advantage before Grimsby replied within sixty seconds to level the tie once more.
For the second round in succession, Edwards and his side will be forced to settle a cup match via a replay. After the match, the boss said: “For the neutral watching it was good but there will be mixed emotions amongst the fans of course, I think they will see that we gave everything and there was some good quality play in there.
“We pushed, we were positive, couple of really good goals and the way we won the ball back and regained it to get the penalty I was really pleased with.
“I thought Clicker’s goal was outstanding but a couple of mistakes from the goals we conceded in areas we have to keep working on. The second one was really frustrating because we just scored and we have to be like robots, we have to be ice cold in those moments and do our jobs really, really well.
Continuing, Edwards admitted: “I said three key things before the game and set pieces were one of them, so the first goal was very disappointing as well. That being said, the boys gave everything, we’re still in the hat and we have to go and do it again in a couple of weeks’ time.
“The lads are down in there but in football there is a game just around the corner to pick ourselves up again. We will be in tomorrow, we will look at it back and we will learn from it. I said to the lads that I don’t want to see anyone down, there is no point in anyone moping about, it is what it is, it’s happened, we’re still in the hat and it’s not the end of the world.
“There was some good play today as well and Grimsby gave absolutely everything, we knew it was going to be a difficult game, both teams went for it and I thought it was a good cup tie.”