Key points
Rampant Hearts powered eight points clear of Celtic at the top of the Scottish Premiership to strengthen their early-season championship claims and deepen the struggles around the Celtic team.
A superb goal from Kyziridis and Lawrence Shankland's penalty gave the Hearts team a two-goal advantage that the title holders could not overcome.
The young defender - one of three youngsters in the Celtic starting lineup - scored an own goal early on to put the home side ahead at a energetic Tynecastle, and it was the youngster's infringement that led to the spot-kick.
A stylish finish from McGregor of the season had swiftly equalized Hearts' opener, and Benjamin Nygren almost put Rodgers' team in front, choosing placement over power and allowing the Hearts keeper to save from close range.
But Derek McInnes' irrepressible Hearts seized control again to consign Celtic to back-to-back losses for the first time since 2023.
It also gives the Edinburgh side a significant lead at the summit.
The previous occasion they were this far ahead was in the 2005-2006 season under George Burley, when they ended as runners-up - a rare instance that a team has not secured the title after building such an advantage in the last three decades.
The Hearts coach, whose former team were second to Celtic on four occasions, has been at pains to play down championship discussions, as the club seek their maiden league title since the 1960s.
Rodgers has experienced this previously at Celtic - both flawless and stuttering starts to a season. He's yet to finish second best.
But on Sunday's evidence, this Hearts team showed they need to be taken seriously.
Hearts started with the confidence of a side unbeaten in the league this season - fans' favourite Kyziridis poked a cross in for Shankland to fire off target.
Celtic didn't aid their cause 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 Kasper Schmeichel and Shankland's return ball was turned into the net by the hapless defender, in for the injured Cameron Carter-Vickers.
Celtic grew into the contest and started stringing passes together. From one such move, Sebastian Tounekti released Tierney to set up the captain, who slotted home.
Aside from the Nygren chance, Celtic found it hard to generate chances for striker Kenny or his replacement Shin Yamada amid the unavailability of injured forwards their key strikers.
The home team rediscovered their energy and adaptability in creating chances in the opposition half. Kyziridis, one of the finds of the club's relationship with shareholder Tony Bloom's Jamestown Analytics, struck low past the goalkeeper from the just outside the area.
Immediately after, Murray tripped Braga in the inside right channel and the penalty taker converted. And it could've been an more comprehensive victory, had replacement Ageu not been stopped by the shot-stopper.
The visitors' performance after the break was somewhat summed up in two incidents involving big-money recruit Engles.
The set-piece from Engles delivery was in stark contrast to his European display in the continental victory over Sturm Graz and the national team player was then booked for a professional foul.
Hearts head coach Derek McInnes: "The effort from the squad is evident, the team spirit. That's not sufficient on its own to win games consistently.
"Our strength lies in, is good technical ability. You're seeing that from multiple individuals who have been here previously. Recent additions are keen to demonstrate their quality.
"We've got a good thing going at the minute, but it's only three points. It's crucial for us to keep winning. We've got loads to do, plenty to improve. After the first two rounds is normally an indication of your standing."
Celtic manager Brendan Rodgers: "It's a really poor goal from our perspective. We didn't move when the ball went back as a defensive unit so when they play it, they should have players offside but weren't. We have got to improve with the attempt.
"Plenty of matches to play for. It's only the beginning. It's just nine matches. Obviously, being eight points behind is not what we would want. The positive 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 back at home on midweek against newly-promoted Falkirk (19:45 GMT). At the same time in the Scottish Premiership, Hearts are at their opponents' ground.
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