Fact #5: This misalignment of the goal posts backward increases the distance the ball may strike within the white area and still not be considered a goal to a minimum of less than 6.5” because the entire ball has not cleared the imaginary line between the goal posts. See image below.
Fact #6: The distance between the back of the black goal line and the black crumb flying into the air where the ball struck is 4.8” as evidenced by the image below. This image was blown up to the individual pixel level to be able to accurately measure the distance.
Conclusion: If the goal posts had been properly aligned the goal would have been a good goal;
however, since the goal posts were not properly aligned and extended backward off the line, the result is no goal. Great stuff EXCEPT... the photo you posted is not from the game yesterday, but from a game earlier in the year. (I posted it via a google search)
If you look at this screen capture or watch the channel 7 video you can see that the posts are much further forward and are in the right position for yesterday's game.
https://scontent-atl3-1.xx.fbcdn.net/t31.0-8/13247907_10205684533293332_6392098719823842043_o.jpg 
And by your measurements if the ball is 9 inches in diameter and lands 4.8 inches behind the line then the whole ball MUST be pass the black line. And that is just the edge of where the ball landed. The center spot from where it landed is another few inches inside the goal so if the ball landed 9 inches in the goal and its only 9 inches round then the whole thing has to be in the goal.
Again, watch the channel 7 newscast it has the best angle and it lands clearly inside the goal AND the goal posts are in the right position with the back of the post lined up with the back of the black goal line. (BTW how many games were played yesterday? You don't think one person would have noticed if the posts were in the wrong position?)
And again, complain about the ref being in the wrong spot, bad angle, to far away, can't tell with the naked eye etc etc etc end of the day they got it right.
