It is the uniform button of soldiers connected to the Ottoman naval forces.
Ottoman Navy (Donanma-yi Humâyûn), military naval power of the Ottoman Empire, was founded in the 14th century. The Ottoman Empire reached the sea by conquering Karamursel in 1323, the first navy was created under the command of Kara Mursel Bey, and support was provided from the sea in the battles in Kocaeli. One of the most disciplined military units of the Ottoman Empire was the navy. The uniform of the soldiers was carefully prepared and always stylish. Even in the buttons on these uniforms, it was designed as a crescent with a star on it and a crescent with the ends facing up or an anchor, and again with the ends facing up below it, to show what forces it was connected to. The button you see is the uniform button of a Turkish soldier under the supervision of the Ottoman navy.