Referee Willie Collum dismissed Celtic's James Forrest and Hamilton's Jim McAllister after the break.
Trailing to strikes by James Forrest and Anthony Stokes, Hearts imploded and surrendered their 11-game unbeaten run.
McCourt weaved his way through Hearts' defence to score the third late on after James Forrest and Maloney hit the net in the first half.
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.
Celtic were reduced to 10 men when James Forrest was shown a straight red, but Hamilton were reduced to nine following straight dismissals for Jim McAlister and Mensing.
James Forrest opened the scoring from Murphy's pass, but Jefferies claims that video evidence showed that the Irishman was offside and it was this that led the Hearts boss to confront Collum.
BBC: Hearts boss Jim Jefferies reports referee Willie Collum
James Forrest drove at the Rennes defence and fired in a low shot that was palmed out by goalkeepeer Benoit Costil to Stokes, who converted the rebound from just outside the six-yard box.
But their title ambitions were dealt a damaging blow as early as the seventh minute when James Forrest, back from his automatic one-game suspension for his sending off against Hamilton, blasted a cracking shot past Marian Kello.
Lennon had named a much-changed team from the side that lost to Philadelphia, with 18-year-old winger James Forrest given another chance for the senior team, while forward Shaun Maloney and defender Thomas Rogne returned from long-term injuries.
Forrest was joined earlier this year by fellow Australian billionaires James Packer, Kerry Stokes and Lindsay Fox in funding a philanthropic campaign called Generation One that was designed to raise awareness of the high unemployment and poor health of Aborigines.
FORBES: Australia's Richest Finds Funding For Ambitious Expansion
Another Evraz board member is James W. Campbell , the chairman of Australia's Minara Resources --a company founded by Andrew Forrest, a member on our list of Australia and New Zealand's richest men.
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