You need to override the onDrawerSlide method of ActionBarDrawerToggle and set the slideOffset to 0 if the drawer is right drawer. So this would disable the animation of the navigation drawer image for right drawer.
@Override
public void onDrawerSlide(View drawerView, float slideOffset)
{
if(drawerView!=null && drawerView == rightDrawerListView){
super.onDrawerSlide(drawerView, 0);
}else{
super.onDrawerSlide(drawerView, slideOffset);
}
}
This worked for me similar to Google+.