The play McKay was referring to was in the fourth inning when Deven Marrero hit a home run to left. Avila was on first base and Chris Owings on second.
Not knowing if the ball was going to be caught or go over the fence, Avila went back to tag first base, and he and Marrero briefly passed one another.
The umpires didn't initially see a problem, but the Dodgers challenged the call. Upon replay review, Marrero was credited with a single and ruled out. Both Owings and Avila were allowed to score.
"There was an overhead view that showed he was a little bit ahead of him," Dodgers manager Dave Roberts said. "We knew it was close but wanted to take a look at it. We knew it was reviewable, and it saved us a run."
After the game, McKay heard that Avila was taking the blame for the play and that led him to interrupt the media session.
"On that ball right there, what we do a lot is the guy tags up at second and tags up at first on deep fly balls that have a chance to be a home run," McKay explained. "What I'm supposed to do is I'm supposed to stop the runner. Owings started to tag, [Avila] came back to tag and had no chance to tag. I was talking to [Avila] and left Deven alone and let Deven pass me. I've got to stop the baserunner. That's the way it works.
"[Avila's] probably going to take the blame for it, but that's my fault. My fault. The coach's fault. I've been doing it for over 30 years, I've stopped a thousand of them and just got caught up. Sometimes the coaches get in the way. I got in the way today."
In the end, the biggest frustration for Avila was that Marrero didn't get credit for a home run.
"That's the thing," Avila said. "He should get the homer."
Ken Gurnick has covered the Dodgers for MLB.com since 2001.