For 50 minutes in Belgrade, shades of Celtic's blunt two legs against Kairat Almaty in their Champions League play-off crossed the mind.
Rodgers' side were once again lethargic and lacked the quality required to compete at the sharp end of the pitch.
Under pressure for most of the first half, the Scots were fortunate their hosts were as profligate as they were.
Cameron Carter-Vickers twice came close to puncturing Red Star's pressure, but his tame efforts summed up a stuffy start from Celtic.
Maeda had just eight touches in his 45 minutes before he was hooked for natural striker Iheanacho.
Celtic's attack finally had a bit of dimension, and there was a flurry of chances before the breakthrough arrived. However, it didn't bring domination and the equaliser followed.
As daunting an arena the Marakana is, Celtic did not really threaten a winner late on and appeared almost happy to hold out for the draw - one which Rodgers admitted post-match is "a nice first step".