I use Logic Pro 11.0.0 and I just bought the Komplete Kontrol S61 MK3. It works fine with the plugins, only the DAW control functions like play, record, stop don't work and when I press the 'DAW' button the screen on the keyboard goes black and I can't go back to the Browser or Plugin state.
I read on your forum to delete the com.apple.logic.pro.plist from the preferences folder in the library. That didn't help. I'm not sure if it was the User library though. I think the trick with pressing the alt key in the Go menu to get to the user library is only for previous MacOS versions right?
Anyway, because everything works fine in Ableton I figure it has to something with the Logic settings. This is what I have now: