Celtic beat Lincoln Red Imps 3-0 on Wednesday night.
Rodgers's side put a demoralising 1-0 first-leg defeat behind them to comprehensively beat the semi-professional Gibraltar side, with goals from Mikael Lustig, Leigh Griffiths and Patrick Roberts doing the damage in a rip-roaring opening half-an-hour at Paradise.
Celtic fans might have been justifiably worried after what happened in the first leg, but the Parkhead support put their anxieties to one side to cheer on the Bhoys, who progressed into the third and penultimate qualification stage of the Champions League.
Rodgers has now praised the "outstanding" intensity of which his boys played, but reserved special praise for the partisan Celtic fans inside an almost sold-out stadium.
“That was the objective coming into tonight,” he said to the club's official website. “I was very pleased with the first 30 minutes. I thought the intensity was outstanding in the team, our pressing and ability to force mistakes and then get goals.
“I thought the crowd were incredible. A near full house for a game like tonight was incredible and the players really felt that support. So overall we’re pleased to get through."
Celtic face a tricky trip to Kazakhstan in the next round as they prepare to face Astana next week. Victory in that tie would bring Rodgers's side to within 180 minutes of the Champions League group stages - a placement which has eluded them for the past two years.
Celtic's Leigh Griffiths celebrates after scoring their second goal