On first press a "Press back again to exit" toast like some apps have should pop up.
If a dialog or additional activity is open then it should return to the main activity without triggering the back button increment or exiting the app.
After the button is pressed let a short time pass before the app resets the increment to 0.
I added a "are you sure you want to exit" dialog when pressing the back button on the main screen, it think that is what you were referring to, but let me know if not
On first press a "Press back again to exit" toast like some apps have should pop up. If a dialog or additional activity is open then it should return to the main activity without triggering the back button increment or exiting the app. After the button is pressed let a short time pass before the app resets the increment to 0.