Celtic were much changed for last week's 5-2 Scottish League Cup win over Falkirk and were much changed again in Perth, with injured defender Cameron Carter-Vickers still a notable absentee.
Unlike that tie with Falkirk, Celtic never found themselves behind and chasing the game, taking control early and maintaining their momentum after the disappointment of having a goal chalked off.
Kyogo, Kuhn and Trusty all threatened and once the opener came, it was a case of how many. Trusty with a shot wide and McCowan with two efforts including one off the post almost added to the rout.
At the other end, Kasper Schmeichel remains unbeaten as a Premiership goalkeeper, with Rodgers' side matching the club's run of six opening league wins without conceding from season 1906-07.
Greg Taylor did not return for the second half, Valle taking his place at left-back, but the Scotland international seemed to be moving freely at the full-time celebrations.
It's Germany next for Celtic, where they will meet a Borussia Dortmund team that beat Bochum 4-2 on Friday.