In the first half-hour of the second half, we were much better but you can always concede against players of that quality.
Cavani did, however, get his landmark goal before the break, converting from the spot after he had been pulled back by defender Jozo Simunovic as they battled to reach a cross.
Celts teenager Anthony Ralston was pitched in up against Brazil superstar Neymar with Rodgers praising his performance.
Moments later, there was a holdup as a fan ran on and appeared to aim a kick at Mbappe before he was hustled off by stewards, an incident sure to land the Glasgow club in more trouble with UEFA.
Celtic and PSG are joined in Group B with Bayern Munich and Anderlecht.
While his Champions League debut for the club might not be the toughest of encounters, a rampaging outing against Celtic can be a big statement of intent from the Brazilian, who can provide a sign of things to come over the course of the campaign.
Celtic were second best throughout the contest, embarrassed in front of their own fans as the French side had the game wrapped up by half-time.
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Speaking about Celtic manager Brendan Rodgers, he was more complimentary saying, "I think this coach maybe likes to play football more than other Celtic teams I have faced".
He did just that and made a number of good stops, notably a flying effort to keep out a Leigh Griffiths free-kick in the first half.
Mbappe then showed why PSG are prepared to make him the world's second-most expensive player when he grabbed his second goal in two games since joining on a season-long loan from Monaco. Whether we will win it or not, I do not know.
He added: "Overall, as an 18-year-old coming into that he was excellent".
Celtic certainly have put together their strongest possible side, will it be enough to earn a result at home to open Champions League play though?
Edinson Cavani had already had a goal ruled out for offside by the time the visitors took the lead in the 19th minute.
Now he is the leading man at one of the biggest club's in world soccer and he needs to score goals in order to help his side progress in Europe's premier club competition.