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Hart, who studied video evidence of the sendings-off over the weekend, told the club's official website: "Both players will be fined.
"I have to agree with the referee that both players deserved to be sent-off. They have got to show more responsibility."
Prutton went for a late challenge on Allan Nielsen, while Lester saw red after kicking out at Neil Ardley.
Both received straight red cards so will have to serve automatic three-match bans, the home game with Rotherham on Saturday week, the Worthington Cup tie with Walsall and the away game at Millwall through suspension.