Luis Suarez had his effort in the dying embers of the game controversially ruled out for offside when television replays showed the striker was clearly onside when he put the ball past Tim Howard.
Rodgers admitted the decision was hard to take, but he declared himself proud of his players after marking his first Merseyside derby with a draw.
"I think everyone has seen it was a clear goal, fantastic header by Sebastian and obviously he has timed his run perfectly Luis, but sometimes it happens like that," Rodgers told Sky Sports.
"It was a wonderful game and I am very, very proud of the team today. Everton are a strong side and they have started very well and we are still getting together and defining how we play, but I thought we were fantastic today.
"But I had to make a tactical change at half-time as there were a lot of direct balls, no great build-up play and we had to deal with a lot of aerial balls in the box, so we flipped it to a back three and five in midfield and two up front to still give us that possibility to attack better and I thought it worked really well for us.
"It was a wonderful game, but obviously we would have preferred three points, but a point was the least that we deserved.
"I was very proud of the team. I thought the young players were fantastic and showed great courage and right the way through the team it was a good point for us."
Rodgers also singled out man of the match Suarez for special praise after an all-action display from the Uruguayan.
"I thought he was outstanding," continued Rodgers. "He is so clever and bright and second half we put Raheem Sterling up with him and I thought he was brilliant as well.
"Luis he gets a little bit of stick but his performance level on the field and every day in training he is a joy to work with and when he plays with quality like he has done today he deserved a hat-trick and only the officials denied him that."