If it is a military motif then I would be surprised if someone would stick their initials in the middle of it.
Part of the problem is that we are only assuming it is military based on the 2/13 designation and the date being WW1, it could easily be a civilian item such as fire company or even a scout troop as they also use cross flag emblems.
Also if it is military I would suggest that it is probably a post war or non-combatant item as it is unlikely anyone would stick a unit designation on a front line item (unless it was post war) but having a French Franc attached certainly gives it a European appeal.
Is there a date on the Franc when it was minted?