Elding is at Lincoln on a three-month loan from Crewe Alexandra
The Football Association has said it will investigate the brawl between the Lincoln City and Bury benches during their 1-1 draw on Saturday.
The brawl followed the 45th-minute dismissal of Lincoln striker Anthony Elding and was included in referee Chris Sarginson's match report.
Elding was shown a red card after tangling with Bury's Ryan Cresswell and will now serve a three-match ban.
Cresswell was cautioned for his part in the initial altercation.
Elding will miss matches against Darlington, Barnet and Notts County.
Imps manager Peter Jackson told BBC Radio Lincolnshire: "I thought he deserved only a yellow. It was a flash reaction, completely out of character."
Jackson also felt that referee Sarginson should have given the same punishment to Cresswell as he did to Elding, who had been shown a yellow card moments before the incident.
He said: "If both had got automatic red cards I'd have understood, but not to give one red and the other yellow when the initial foul was by the Bury defender."
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