Following a challenge on Everton goalkeeper Jordan Pickford, the midfielder received a red card, which Brentford immediately appealed.
On-field referee Chris Kavanagh reviewed the challenge on the monitor after VAR recommended him to inspect the suspected foul and agreed that it deserved a red card.
Norgaard would have faced a three-match ban but the Bees' appeal was accepted meaning the 30-year-old will be available for their clash against Leicester City this weekend.
The tie at Goodison secured Brentford’s first league clean sheet of the season.
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