Match summary
Rampant Hearts powered eight points clear of Celtic at the top of the Scottish top flight to strengthen their early-season championship claims and deepen the struggles around the Celtic team.
A superb goal from Kyziridis and a spot-kick from Shankland gave the Hearts team a 3-1 lead that the title holders could not recover from.
The young defender - one of three youngsters in the Celtic starting lineup - scored an own goal in the early stages to put the home side ahead at a bouncing their home ground, and it was the youngster's infringement that led to the penalty.
A stylish finish from McGregor of the season had quickly cancelled out the first goal, and Benjamin Nygren almost put Celtic in front, choosing placement over power and allowing the Hearts keeper to make a crucial stop.
But the unstoppable Hearts side regained dominance to consign the visitors to back-to-back losses for the first time since last year.
It also gives the Hearts a significant lead at the summit.
The last time they were so far clear was in 2005-06 under their former manager, when they ultimately finished second - a rare instance that a team has failed to win the title after building such an advantage in the last three decades.
McInnes, whose Aberdeen side were runners-up to the champions on four occasions, has been at pains to downplay championship discussions, as the club seek their first top-flight crown since 1960.
Rodgers has seen it all before at Celtic - both perfect and shaky beginnings to a season. He's yet to finish second best.
But on the weekend's performance, this Edinburgh outfit showed they deserve serious consideration.
Hearts started with the self-assurance of a side undefeated in the league this season - the popular attacker delivered a ball for Shankland to fire off target.
Celtic didn't help themselves with some uncharacteristic carelessness in possession and they buckled under their first real examination.
Claudio Braga's header was touched on to a post by the Celtic keeper and Shankland's return ball was turned into the net by the hapless defender, in for the injured Cameron Carter-Vickers.
The away side grew into the contest and started stringing passes together. From a flowing attack, the midfielder released the full-back to set up McGregor, who slotted home.
Apart from the Nygren chance, the visitors found it hard to generate chances for striker Kenny or his substitute Yamada amid the unavailability of injured forwards their key strikers.
Hearts rediscovered their energy and adaptability in creating chances in the opposition half. The Greek forward, a standout performer of the club's relationship with shareholder Tony Bloom's Jamestown Analytics, fired a low shot past the goalkeeper from the edge of the box.
Immediately after, Murray fouled Braga in the inside right channel and the penalty taker scored. And it could've been an even more handsome win, had substitute Ageu not been stopped by the shot-stopper.
The visitors' performance after the break was partially encapsulated in a couple of moments involving big-money recruit Engles.
The midfielder's wayward free-kick delivery was in sharp opposition to his European display in the Europa League win over Sturm Graz and the Belgium international was then yellow-carded for a professional foul.
Hearts head coach Derek McInnes: "You see how hard the players work, the team spirit. That's not sufficient on its own to win games consistently.
"What we have got, is good technical ability. You're seeing that from multiple individuals who have been here before. Some of the new signings are eager to show that.
"We've got a good thing going at the minute, but it's just one win. It's crucial for us to keep winning. We've got loads to do, plenty to improve. Following the initial fixtures is normally an indication of where you are."
Celtic manager Brendan Rodgers: "The second goal was disappointing from our perspective. We failed to push up when the ball went back as a line so when they play it, they should have players offside but didn't. We have got to do better with the attempt.
"There's still so many points to play for. It's only the beginning. It's only nine games in. Clearly, being eight adrift is not what we would want. The comfort is there's numerous fixtures to play.
"We now have to focus on the present and look to find more consistency and better performance in our play."
The Glasgow club are returning to their stadium on midweek against promoted side Falkirk (evening kick-off). At the identical hour in the Scottish Premiership, the Edinburgh outfit are at their opponents' ground.
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