First override back pressed of your activity and then can check if drawer is open
mDrawerLayout.isDrawerOpen(GravityCompat.START);
If this return true simply close your app.
Important : Check your drawer gravity.
Try registering you fragment to back pressed like this:
public void registerBackButton()
{
if (getView() != null)
{
getView().setFocusableInTouchMode(true);
getView().requestFocus();
final BaseFragment frag = this;
getView().setOnKeyListener(new OnKeyListener()
{
@Override
public boolean onKey(View v, int keyCode, KeyEvent event)
{
if (event.getAction() != KeyEvent.ACTION_DOWN)
{
if (keyCode == KeyEvent.KEYCODE_BACK)
{
if (isVisible())
{
return frag.onFragmentBackPressed();
}
}
}
return false;
}
});
}
}
Now in onFragmentBackPressed check if drawer is opened or not as mentioned above.