So the battle of the Trouée de Charmes was fought in August 24-26, 1914, following the failure of the French offensive into Germany. Moltke and Crown Prince Ruprecht, commander of the German 6th Army, thought that the French were disorganized enough to break through the French defensive line on the border, which had a gap around the town of Charmes. If done they could move into the French rear and possibly encircle their army in Lorraine.
IOTL, the French were not as badly beaten as thought, and so the German offensive failed to make significant progress.
So what do you all think the results would have been if the Germans had been able to breakthrough here? So as to not get bogged down in questions of "how" this happens, assume that the French offensive into Lorraine goes even worse, in that the French 2nd Army takes worse losses and has a disorganized retreat, allowing a breakthrough to be possible. I've never seen this PoD discussed, so I figured it would be worth a try, and at least it's not another "WI Germans win at the Marne" thread.
Since from personal experience I know that its hard to picture stuff like this, I've made and attached a map

Basemap is the OTL Western Front on August 26th.
Outlined in black is the German 6th Army's front.
The town of Charmes is circled in
light blue
The two
green circles represent, approximately, the fortress complex's of Toul and Epinal (these will be on the flanks of the advance)
The solid
Red line is the general operational direction of the OTL offensive
The
dotted red lines are the directions of attacks made by the German 4th and 5th Armies in the days following what is shown on the map. (IOTL the furthest they reached was to about Revigny, around September 5th, before the Marne retreat.)
My rough idea of how it could play out:
The French 2nd army is going to get shouldered off to the right of German 6th Army and contained by its right wing at Toul, while the center and left continue moving forward towards Neufchateau, into the rear of the French lines. The German 7th Army would probably extend its line northwards, in order to guard the flank at Epinal and launch pinning attacks against the French 1st Army.
You can see from the map that it looks like there is the possibility of a double envelopment here, converging around Bar-Le-Duc probably. In the best case scenario (for the Germans), this pincer move would encircle the french 2nd and 3rd Armies, as well as the fortress garrisons at Verdun and Toul. I'm skeptical of the plausibility of this, but maybe it could happen if these French tried counterattack and not withdraw.
Even if this huge encirclement, or a smaller one with only the 2nd army or even just the fortress troops occurs, the French have still lost their primary defensive line, and the forces that just withdrew would be at least somewhat disorganized and likely without some heavy equipment, right?
That was a lot of (probably pointless) details but basically, I would like to know everyone's thoughts on this. To what degree would the Germans exploit a success here, and could it have been decisive? Could they encircle a massive amount of troops? If they did or did not what would the repercussions be on say, the other areas of the Western front, or the future of the war? Would the French end up winning the battle anyway?