Brown was red-carded for the offence during the game, which Celtic went on to lose 1-0. While a one-game suspension was expected, Uefa have instead hammered the player for his indiscretion, although the Hoops will lodge an appeal with Europe's governing body.
Unless they succeed, the news will be a massive blow to Neil Lennon who had not anticipated being without his captain for more than one game; now Brown looks set to miss the forthcoming crucial double header against Ajax as well as the next game against AC Milan.
He would not be back until the final game of the group, which is against Barcelona in the Nou Camp on December 11.
Celtic have already been dealt a couple of blows ahead of this crunch game against the Dutch with Adam Matthews out for the rest of the group ties after undergoing shoulder surgery, while Dutch winger Derk Boerrigter is still struggling with an ankle complaint and is unlikely to feature against his former club.
Manager Neil Lennon admitted today that Mikael Lustig’s hip injury has left him with a “huge” headache ahead of Tuesday.
The right-back was ruled out of Sweden’s World Cup qualifier against Germany on Tuesday after coming off in the previous match against Austria with the injury which leaves him “a serious doubt” for the trip to Hibs on Saturday.
Lennon said: “We have two very good right-backs who may not be fit (for Ajax). We know Adam is going to be out for three months.
“Mikael’s hip locked against Austria. He is a doubt for the weekend but we are very hopeful he will be fit for Ajax.
“But we have to nurse Mikael, he does have hip and groin problems and we do have to manage him during the week.
“But he is a serious doubt for the weekend so we will have to rethink things regarding Hibs.
“It will be (a gamble) against Ajax if Mikael does make it (for Hibs) and it might not be a gamble worth taking, obviously.”
However, midfielders Joe Ledley and Tom Rogic are back from their respective groin injuries and James Forrest is expected to be fit again after a combination of sciatica and a virus kept him out of Scotland's final World Cup qualifier against Croatia at Hampden Park on Tuesday night.
Lennon said: "Joe is due to start training tomorrow, as is Tom Rogic. Tom had an injection in the groin area before the international break so has been doing some physical work this week after a rest last week, so I'm hoping he will join us tomorrow.
"James Forrest has had a 10-day rehab so we are hoping he will be up and at it for the weekend.
"So the squad is starting to take a little bit more shape again.
"Boerrigter will take another week or so, he has a bit of soreness in the (ankle) bone and it can take a considerable period of time to heal properly.
"But we are hoping in a week to 10 days he will be able to join the rest of the players but to he is doubtful for Ajax."