Indeed, it does. And yet it is not the same mark. Post 12 is ideal for seeing it.
If you would superimpose the backside metal mark over the obverse Tugra you can see that they don't line up. Simple Photoshop manuever would prove this out. The "Stand" part of the Tugra is much narrower and it doesn't match the obverse.
Additionally, the outer and inner "Egg" are there, but the "Tughs", "Arms", and "Fringe" are all truncated or omitted.
I can't offer an alternate explanation at this time. Likewise I don't know how to explain the "E.S." mark.
If this "E.S." does indicate a non-Ottoman/Turkish manufacture, then we have a non-Turkish badge with a Tugra mark made from a specially designed Tugra marking tool that changed the Sultan Signature's Tughs, Arms and Fringe, but didn't bother to reverse the tool image so that it would appear correctly on the piece.
Puzzling.