Kompany later said: "It is what football is about. The chances you have you have to put in the back of the net. We conceded off the very first moment for Bournemouth in the game.
"The lads were not putting the ball in the back of the net, but when they were well that's a whole other discussion.
"There's 11 games left, we have been at it a while, so you build your understanding of the league as you go. Forest away, handball or not handball and then we get a letter saying sorry."
Burnley midfielder Josh Cullen had a goal disallowed for a foul in the led-up.
Kompany continued: "The Luton one where in that case it is deemed not to be a push and they give a goal and today it is deemed to be a push and don't give the goal.
"You can understand there is a little bit of confusion. Did my team score a goal today? Based on some games they did but today they didn't.
"I know on Match of the Day you have a limited time to go through this, but the Luton goal is given and then this goal is taken off us, it is bound to eat into me.
"The yellow card (for Dara O'Shea), I think that was deserved but then it happens on the other side and they don't get it.
"You will never hear me criticise referees for their intentions, we are all human beings, but it is part of some of the things that have gone against us this season. I can't say it in a more respectful way.
"What do I want from my team? I want them to show the energy they did today, I want them to show the fight for what is a wonderful opportunity for Burnley which is to be in the Premier League. You have to rely and trust in your players to turn a corner, that is really important."