Jefferies was sent to the stand for complaining that Daryl Murphy was offside for the first goal.
BBC: Hearts boss Jim Jefferies reports referee Willie Collum
And Hull also withdrew from talks with Sunderland striker Daryl Murphy after failing to agree personal terms.
Sunderland did not deserve to lose and Daryl Murphy headed their best chance straight at goalkeeper Pepe Reina.
And Keane altered his forward options with Wallace and Michael Chopra replacing Stokes and the energetic Daryl Murphy.
The Tractor Boys have also signed Black Cats forward Daryl Murphy on loan for the rest of the season.
Ipswich striker Daryl Murphy missed two half-chances as they failed to trouble the home defence in the closing stages.
"I thought Murph was fine, " he said of Daryl Murphy's role in the opening goal in Celtic's 3-0 victory in Glasgow.
He found himself behind Kenwyne Jones, Djibril Cisse, Daryl Murphy and David Healy in the Premier League side's pecking order last season.
Suso had sent a drive against a Celtic post, but Hearts were caught out as Daryl Murphy broke clear and his cross was turned in by James Forrest.
Bent had a snap-shot easily saved by Petr Cech, while Daryl Murphy was bravely denied by the keeper from eight yards out after good work by Kenwyne Jones.
Lennon has already recruited forwards Gary Hooper and Daryl Murphy but has sold Cillian Sheridan and allowed Morten Rasmussen, Paul McGowan and Ben Hutchison to go out on loan.
Daryl Murphy picked the ball up wide on the right and, with Hearts claiming for offside, Darren Barr's attempt to clear the Irishman's ball across the face of goal struck Forrest and crossed the line.
Things were similarly hectic after the interval and the home side's lack of quality when it mattered was shown by Daryl Murphy, who curled his shot high into the stands when he had time to pick his spot.
Cattermole got his second yellow card and was sent off for a foul on Teemu Tainio five minutes from time and, as both sides pushed forward for a late winner, substitute Daryl Murphy failed to get enough on a header from six yards out.
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