(I left this same reply on your other comment, but I'll leave it here too for posterity's sake.)
Hello, thank you for being patient for my reply. I have not used this account in years and logged in on a whim.
The moustache is made from felt fabric sewn together. It has standard polyester stuffing inside of it to make it poofy and it keeps its stape with an internal wire frame along the seam edge. It stays on my face with the same internal wire extended and poking out near the center of the moustache. This wire wraps along my head like the arms on a pair of glasses and the moustache teeters along my upper lip for the most part. It's very impractical looking back several years later, but it was my first attempt at something like that.
The buttons were just hot glued on. Still secure to this day.