How to place Drawer widget on the right

By using endDrawer: ... instead or in addition to drawer: ... to set a drawer, like this:

Scaffold(
  endDrawer: Drawer(...),
  // ...
)

To open it programmatically, use

Scaffold.of(context).openEndDrawer(); //This might have been updated by flutter team since the last edit

See also https://docs.flutter.io/flutter/material/Scaffold/endDrawer.html