It's pretty much authoritarian at this point. Calling it semi progressive in the sense of Sharia law is accurate, but like the vast majority of the Islamic world representative democracy isn't a workable model. The two are at odds to the point one has to go.Tbh Turkey has been semi authoritarian since atta Turk. The idea that the military is constantly compelled to save the “republic” just seems to be more of a shogunate security ruling in the background of a puppet government. Erdogan is just a guy that made enough friends in the military to prevent them doing it to him.
However Turkey is far more secular and semi progressive than most of the major Islamic middle eastern countries.