Hoops defender Jozo Simunovic was shown a straight red by referee Willie Collum for using an arm to brush off Gers striker Alfredo Morelos in the 56th minute before Edouard, 20, on loan from Paris St Germain and on for James Forrest, curled in the victor in the 69th minute.
However, if Rodgers' side win and make it a nine point gap, their hold on the league title for another year will be all but guaranteed.
"People come north of the border to this club to play in big game, I am not sure that there is a bigger game for us to play in now and this game has added significant because of that".
"The game itself is a wonderful game and I'm lucky enough to have been involved in eight of them", Rodgers said.
'We had to cope with a lot of long balls and direct play.
"The three points are on offer for us and if we get them then we put ourselves in a fantastic place to go and finish the season off really strongly", he added.
Home and away wins over English champions Leeds United clinched a place in the first-ever group stages of the competition and Rangers went into their final group game level on points with French club Marseille. "When we study opponents up here, he's been one of the very few goalkeepers I've been really impressed with".
"I've said I'm a fan of Alfredo Morelos and that will be interesting how Celtic treat him as there are questions about his temperament".
The 26-year-old, who joined the Parkhead club on loan from Dundee at the end of January, was pitched into the Ladbrokes Premiership clash in Govan as replacement for injured Dorus de Vries, who himself had recently come in for number one Craig Gordon.
The Northern Irishman said: 'I am delighted for him.
"There was a lot of talk before the game but the guys kept their humility and came from behind twice to come up with a brilliant win". "It's a game that excites us".
Celtic manager Brendan Rodgers warned Rangers to be "careful what they wish for" in the cup and has since claimed Sunday's Old Firm is a must-win for their Glasgow rivals, which is live on Sky Sports.