The green braid is actually called a Fourragère and is worn by the 5th and 6th Marines. The award of the was a result of being the only regiments in the American Expeditionary Force to receive three Croix de Guerre citations: two in the order of the army and one in the order of the corps — Fourragere and Croix de Guerre with two Palms and Gilt Star. The Fourragere became part of the uniform of the unit, and all members of the organization are authorized to wear the decoration on the left shoulder of the uniform as long as they remain members of the organization. It's fairly important, so make sure you include it. It has the significance like that of the Super commando sigil, which you can only wear if your a super commando.