It was their third successive home draw and kept Neil Lennon's side two points behind the Light Blues, who have played a game less. It might have been worse had Rogne not headed a late equaliser, his first goal for Celtic since signing from Norwegian club Stabaek in January, after Killie striker Conor Sammon's solo goal in the 54th minute had given the visitors a shock lead.
"We have drawn three games and we should have won this one," the 20-year-old Norwegian defender said.
"We are too soft. We concede stupid goals and we don't finish it off when we should. Just as much as we gave away an easy goal, we were not able to score.
"We had plenty of chances and they basically had nothing. They scored from a counter-attack from our corner and that should never happen.
"My goal doesn't matter other than it's a point for us. It doesn't matter who scores. We wanted to be top of the table at Christmas but we lost two points so we are disappointed with the result. The performance was better than the last two so we have to look on the bright side, that was good, but the performance doesn't matter if you don't win."