Not gonna say that the Refs weren't completely fucking shit but the Harden No-calls were only sort-of awful, let's just go through the 4 plays real quick. Keep in mind that I do not have access to replays at the moment and also keep in mind the Harden Rule. This rule being in order for it a shot to be in the act of shooting the player has to have to hands on the ball and in his upward shooting motion.
Play 1: Jorden bell appeared to have contacted Harden near his wrist as well as undercut him on his shot - should have been 3 free throws.
Play 2: Draymond (I think?) reaches over and has his hand on harden's upper arm. Harden, while dribbling, goes up through the contact on the shot. However, the distinction here is he does not properly gather the ball with two hands on it when the contact is made, again classic Harden rule. Now, there was no call at all which is horseshit, but it was not a shooting foul.
Play 3: Now this is the big one that everyone is complaining about. I can't remember who, but again contact was made before Harden properly gathered going into his shot - Harden rule. Good common foul call, it was not an and-1.
Play 4: Can barely remember this play at the moment, honestly. I just remember that it was another Harden rule play that was the correct call and put the Rockets in the Bonus and Harden to the line.
This is how I saw the plays live at least, haven't had the ability to go back in awhile, so perhaps I'm wrong on the timing of one of these plays.