If this was explained correctly, there's a loophole in replay that encourages infielders to always shove runners off the base. Brayan Rocchio slid head first safely into second base for a double against the White Sox. He slid a little beyond the bag but still had his hand on the base with control. The defensive player used his glove (with ball) to swipe his hand off the bag, but it was right in front of the umpire who had a great look at it and didn't hesitate to call him safe. Pushing a runner off the base is illegal (regardless of what Kent Hrbek and Drew Coble think) and is not reviewable. However, the White Sox requested and were granted that the play be reviewed. The call was overturned and ruled an out, because – and this is how the broadcast team explained it after the official call from NY was received – in review they can only rule on what they see on the camera and not consider the context of why a call was made. So they all agree it was illegal, but they don't consider the legality of it, only that they saw the runner tagged with the ball while not in contact with the base.
Tito got tossed and then when Cleveland took the field the next half-inning, the infielders asked the umpire (to no response) if it's okay to push all runners off the bases now.
EDIT: As I thought my way through that post, it boils down to the umpiring crew allowing the White Sox to review a play that can't be reviewed. At the very least, they've established that you should always ask, just in case the umpires are incompetent enough to go along with it. I don't recall all the ins and outs of what constitutes a legitimate protest, but umpires disregarding a clear rule is a pretty good starting point.