LINNETS manager Tommy Taylor was full of praise for his side after seeing them wipe away the memories of their 5-1 league humiliation at Grantham three days earlier.
Lynn exacted a small piece of revenge by handing out their own thrashing at The Walks on Tuesday night.
Lynn have now won the last four League Cup meetings between the two sides, and a delighted Taylor said: "I was over the moon with the players and told them that after the game.
"I asked them why couldn't they have played like that on Saturday and told them that they will go up if they can reproduce that kind of performance every week between now and the end of the season.
"We passed the ball when we got it and fought hard to get it back when we lost it."
Taylor started with Simon Clark alongside Danny Hammond in the centre of defence and the skillful Ludovic Quistin out on the left.
And both players made valuable contributions, as did Jack Defty in an unaccustomed centre forward role.
"Ludovic has good pace, is a good passer, but I don't think he's ever been kicked so much before in a game," said Taylor.
"Simon made a big difference at the back and Jack did very well up front.
"Teams look at Jack and think he's clumsy, but he's got so much ability to hold the ball up, great feet and an excellent first touch."
Understandably, The Walks outfit made a nervous start after Saturday's display against a Gingerbreads outfit that contained four changes from the weekend.
Former Linnets target Jason Turner sent a header wide for Grantham and then sidefooted wide in the opening minutes.
But once Lynn found their feet there was no turning back.
Danny Bloomfield forced Mario Ziccardi into a smart stop and from the resulting Angel corner Bloomfield hooked the ball home to give Lynn a 20th minute lead.
Ten minutes later, Defty, Bloomfield's partner in crime, got in on the act when he wriggled his way into some space before seeing his delicate chip take a slight deflection past the stranded Ziccardi.
The Linnets put the tie well beyond the Lincolnshire side's reach six minutes before the break when Bloomfield's pace saw Adam Sturgess take evasive action on the striker on the edge of the box.
Angel stepped up to dispatch the resulting free-kick with the greatest of ease.
Lynn were in the comfort zone for much of the second half, allowing Quistin to show off his talents on the left.
Fifteen minutes from time Angel played in Camm and the busy midfielder was chopped down in the box, leaving Angel to slot home the penalty kick.
Lynn: Higgs, Jones, Blake, Hammond, Clark (Matthews 63), Camm , Holmes, Defty (Forshaw 79), Bloomfield, Quistin, Angel (Chick 77). Subs not used: S. Wilson and Bacon.
Grantham: M. Ziccardi, T blooding, D. Hallows, A. Sturgess, S. Reddington, A. Speed (J. Fox 64), F Smith, L. Wilson, J. Clarke (K. Smithen 88), J. Turner (J. Quailey 83), J. Neil. Not used: L. Glover.
Referee: R. Beevor (Norfolk).
Att: 397. MoM: Simon Clark.