OK, to get a couple of the fundamentals out of the way first. Punt and field goals are both scrimmage kicks. The rules only address scrimmage kicks. All rules for scrimmage kicks are the same except one (obviously) that says if the ball is kicked off the ground by place kick, it scores 3 points if it goes between the uprights. If it is punted, it doesn't.
Now, back to your question. On a play where a kick has been made, if the ball is loose behind the neutral zone (line of scrimmage) then it can be picked up and advanced by either team. Even if it crosses the line of scrimmage and returns behind the line. Where it's been doesn't matter. It only matters where it is when it's possessed. (see note below, which doesn't pertain to this particular play.)
If the kicking team advances, it's just like any other play -- they have to make the line to gain or it's a turnover on downs. They can advance and score a TD, as we all saw on the video.
Notice I said a kick has been made, not blocked. Any kick that's still behind the line can be advanced by either team. I know of a team that used to punt the ball straight up. The rushers weren't looking for it to come down, and the punter or personal protector would catch it and run. Perfectly legal.
Any scrimmage kick that is loose beyond the line of scrimmage can be possessed by either team, but if the kicking team possesses it, it's dead.
Note: Technically, to say it doesn't matter where it's been is not correct, although in the portion of the rule applicable to that play, it doesn't matter. LT picked up the ball behind the line and it made no difference where it had been.
The two times it does matter where it's been is if the receiving team touched it beyond the line, in which case it's first down for whatever team ends up with it. Or if it somehow breaks the plane of the goal line then bounces back. Any kick that breaks the plane of the goal line is dead and declared a touchback.
This post was edited on 12/6 1:02 AM by White hat