Sixteen-year-old Harry Cochrane opened the scoring at Tynecastle, Northern Ireland worldwide Kyle Lafferty added a superb second, and David Milinkovic made it three early in the second half before adding his second from the penalty spot.
Lustig sat out the 2-1 reverse against St Johnstone in May 2016, meaning his last loss to Scottish opposition occurred three months earlier against Aberdeen.
Craig Levein has admitted that he wouldn't put it past Celtic to go on another run of 69 games unbeaten as "they're that good".
Adrian Peterson says he wants to play next season
During a press conference earlier in the week, Arizona head coach Bruce Arians reported no improvement in Peterson's condition. He topped the century mark again November 5 when he torched the San Francisco 49ers for a season-high 159 yards on the ground.
Hearts had two 16-year-olds on the field come full-time, and with players like Jack Aitchison and Liam Henderson waiting to break through, Celtic could do worse than give them a chance against Partick.
Celtic were thumped 4-0 by a rampant Hearts at Tynecastle. We didn't cope with their physicality, and we made too many mistakes.
Rodgers brought on the striker Moussa Dembélé and Stuart Armstrong for Tierney and Olivier Ntcham at the start of the second half but soon found themselves three down when Milinkovic took advantage of a Simunovic slip and rounded Gordon before knocking the ball into the net.
"I also want to congratulate my players", he added.
Lions break out Rockettes celebration vs. Bears
The Lions beat the Bears for the second time this season, sweeping the season series with their division rival. Jones from three yards out; a scoring play that was set up by a huge Marvin Jones Jr. grab three plays prior.
"They have been absolutely wonderful over those 18 months".
'Hearts were pressing us and I think and hope that if the pitch was a little bit better, we might have kept it better'. "It's a hard pitch so of course they were not going to want to play on the floor".
"We did our very best and unfortunately our best wasn't good enough".
After the final whistle, the Celtic boss and his players formed a huddle on the pitch, with Rodgers saying he was eager for the squad to reflect on the pain of defeat, and the magnitude of their achievements. "It was just a case of saying remember what this feels like - that obviously hurts - but also to remind them that what they've done is absolutely incredible".
Modi appeals for 'positive' debate, Opposition says govt should create 'conducive atmosphere'
There have been several occasions in the past when the session has not been held in time and for its usual duration. The Lok Sabha was then adjourned till 11 am on Monday.