Requirement:- Action Bar Tabs using ViewPager with Navigation Drawer .
I can create a Navigation Drawer example
As you have noticed, ActionBar tabs don't play very nicely with Navigation Drawer and this design mode has been deprecated in API 21 anyway.
I used the classes in SlidingTabs example from Android developers to achieve this effect without having to include a 3rd party library dependency, and am very happy with the result. There is a video tutorial as well.