So, I bought this used online. The title was "German Martingale." The photo only showed the leather section with the rings. Well, it has arrived and I don't think it's a German Martingale. There were no reins included.
I don't know what that extra strap is for either, but apparently it does go with it. Well, I don't think I have a use for this martingale (since I have no clue how to use it). I hope somebody out there on eBay will want to bid on it!!
It is an Arabian training martingale used to train for those low Arabian western pleasure headsets. At least that is what I have always seen them used for. Here is a similar product advertised on state line's website.