The three goals at Wrexham meant Forest have now conceded 46 in all competitions this season, with bottom club Wolves the only side to have let in more among Premier League clubs – and only one more at that.
But with his side 17th in the league – seven points clear of the bottom three – Dyche’s focus will now be solely on keeping Forest in the top flight after an evening to forget in north Wales.
“Forest were nowhere near good enough in the first half,” former Crystal Palace striker Clinton Morrison told BBC Radio 5 Live.
“If they had played the whole game like they did the second they would have won convincingly, but full credit must go to Wrexham.
“Forest back to the drawing board and the task of trying to stay in the Premier League.”
Speaking on TNT Sports, ex-Liverpool and Real Madrid winger Steve McManaman added: “The story tonight is Wrexham and the journey they have been on with the new owners. Nottingham Forest played their part in this story.
“The first 45 minutes, they may as well have not turned up. That is really disappointing because Sean Dyche trusted some of those players to do a job for him and they didn’t.
“He had to rely on some of his big boys. They went to extra-time and that is something he didn’t want, so he will be going crazy in the dressing room.”