How to make a top tab bar with CupertinoSliverNavigationBar Flutter

Question

I use CupertinoSliverNavigationBar, how can I add a tab bar below the title that is fixed to scroll?

My current code :

class SearchView extends StatefulWidget {
  @override
  _SearchViewState createState() => _SearchViewState();
}

class _SearchViewState extends State<SearchView> {
  @override
  Widget build(BuildContext context) {
    return CupertinoPageScaffold(
      child: NestedScrollView(
        headerSliverBuilder: (BuildContext context, bool innerBoxIsScrolled) {
          return <Widget>[
            CupertinoSliverNavigationBar(
              backgroundColor: Colors.white,
              border: Border.all(width: 0.0, color: const Color(0xFFFFFFFF)),
              leading: Material(
                child: GestureDetector(
                  onTap: () => Navigator.of(context).pop(),
                  child: Icon(
                    IconData(
                      0xe904,
                      fontFamily: 'icomoon',
                    ),
                    color: Colors.black,
                    size: 25.0,
                  ),
                ),
              ),
              largeTitle: Text('Discover'),
            )
          ];
        },
        body: Scaffold(
          backgroundColor: Colors.white,
          body: Container(),
        ),
      ),
    );
  }
}

Like on the attached picture :

Of course, if there is a solution that works without the Cupertino widgets, but that still respects the design, I'm interested.