Referee Andy D'Urso backtracked on a decision to award the Grecians a penalty in the third minute of stoppage time, which led to a melee between several players and a red card for Morecambe's Jamie Devitt for an apparent head-butt.
But once order was restored, D'Urso outraged the home fans and Tisdale by awarding a free-kick instead as the game ended in a controversial draw.
"I have just watched it on HD and it was a definite penalty," said a furious Tisdale, who had seen Tom Nichols' opener cancelled out by Padraig Amond.
"We probably should have had two or three penalties but we certainly deserved that one with all the cynical fouls and kicking the ball away and all that nonsense.
"The referee was five or six yards away and had a perfect view, he gave it and sent one of their players off for charging around and headbutting one of our players, apparently, and in the three or four minutes it took to sort it out, the linesman overruled the referee. For the life of me, I can't tell you why.
"We are particularly disappointed and I am absolutely devastated for the players. We played particularly well again and we have been robbed. We get very little and it's pick on Exeter again.
"We don't nick yards at free-kicks or go down and make a meal of things. We see it every week and I am not surprised. We do things correctly but we see it every week."
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- American Football
- Jamie Devitt