Lennon has taken the reins on a temporary basis following Rodgers’ departure to Leicester last week.
The club legend previously led Celtic to three Scottish Premiership titles.
Speaking after today’s match, Lennon appeared to fire a shot at his predecessor.
“I am absolutely delighted, I got everything I wanted,” he said.
“I thought it was an outstanding performance from the team.
“We had total control, and I thought that was the best I’ve seen them play for a while.”
James Forrest bagged the opener in the second half with a stunning finish.
Scott Brown doubled Celtic’s advantage just 13 minutes later.
Lennon hailed his side’s battling performance – particularly after the break.
“The second half was outstanding, really great control,” he added.
“We were magnificent. Two magnificent goals but it could have been more.
“The control of the game was absolutely brilliant.
“At times we could have done a little better with the ball in the final third.
“We tweaked it a little – John [Kennedy] made a few alterations at half time getting James into that no 10 position where we know he can break the lines.
“Even though we were controlling the game Hibs were always in it.”
Hibernian boss Paul Heckingbottom admitted his side weren’t good enough.
“They played well, but we didn’t quite have enough,” he said.
“Against Rangers on Friday we’ve got to be at our best, be on the front foot and impose our game on them.
“We did for a spell tonight before the first goal but we just fell short today.”
Celtic host third-placed Aberdeen next weekend as they look to further extend their lead at the top of the table.