How to add the first menu at top app bar and the second at bottom app
bar? Can I do this in one acivity or I should create Activity with top
app bar + fragment with bottom ap bar?
You'll probably be able to do that with onCreateOptionsMenu() for the top of the Activity, (called Toolbar) then use a NavigationDrawer and another View (Can be a custom view like LinearLayout with ImageViews or etc) or another Toolbar in the bottom.
Or, using custom view and inflating menus by onCreateOptionsMenu().
This might help for two Toolbars in one Activity: https://stackoverflow.com/a/37002188/4409113
Also: https://stackoverflow.com/a/34906999/4409113
In your case (as we can see in the picture), i believe there is a Toolbar at top of Activity, with CoordinatorLayout which has FloatingActionButton in the middle and there will be just inflating in java-kotlin side left.