Does Green Flame Blade and Sweeping Attack combo cause the bonus effect of GFB to hit again?


So I was theory crafting and I came across the combination of Green-Flame Blade with the Battlemaster Fighter’s Sweeping Attack maneuver. I understand that just fine. What I am unclear on is this:

I cast GFB and hit target. Then I activate SA to roll Superiority Dice to hit a second foe for the Dice’s damage (If the original attack would hit the second foe’s AC).

So I end up with one melee weapon attack that hits two different foes with special effects added to the attack. So it should look like this correct?

Weapon damage + GFB damage. GFB Jump damage to second target. Superiority Dice damage + GFB damage (because it is still the same attack correct?). GFB Jump damage to another target (possibly the original) ((because it states that this happens on a hit with an attack?)).