Is there a way to push the updated state of data of one stateful widget into another stateful widget?

Question

I have been struggling with the problem of pushing updated data from one widget to another. This problem occurs when I have two Stateful widgets and the data is updated in the parent Stateful widget but is not updated in the child Stateful widget. The error occurs with the usage of the freezed package but also occurs without it as well.

I have not been able to find anything that fixes this as of yet.

Below is an example:

First Stateful Widget:

class FirstWidget extends StatefulWidget {
  @override
  _FirstWidgetState createState() => _FirstWidgetState();
}

class _FirstWidgetState extends State<FirstWidget> {

  ItemBloc _itemBloc = getit<ItemBloc>();

  @override
  Widget build(BuildContext context) {
    return Scaffold(
          backgroundColor: Colors.black,
          appBar: AppBar(
            elevation: Mquery.width(context, 2.5),
            backgroundColor: Colors.black
            title: Text(
              'First stateful widget',
              style: TextStyle(fontSize: 17),
            ),
            centerTitle: true,
          ),
      body: BlocBuilder<ItemsBloc,ItemsState>(
             cubit: _itemsBloc,
             builder: (BuildContext context,ItemState state) {
                     return state.when(
                               initial: () => Container(),
                               loading: () => Center(child: CustomLoader()),
                               success: (_items) {
                                     return AnotherStatefulWidget(
                                             items: _items,
                                             ...
                                     );
                                  },
                               );
                           },
                        ));
                      },
                  );
);
  }
}

Second Stateful Widget:

class AnotherStatefulWidget extends StatefulWidget {
  final List<String> items;

  AnotherStatefulWidget(this.items);

  @override
  _AnotherStatefulWidgetState createState() => _AnotherStatefulWidgetState();
}

class _AnotherStatefulWidgetState extends State<AnotherStatefulWidget> {
  final ScrollController scrollController = ScrollController();
  ItemsBloc _itemsBloc = getit<ItemsBloc>();

  bool _handleNotification(ScrollNotification notification, List<String> items) {
    if (notification is ScrollEndNotification &&
        scrollController.position.extentAfter == 0.00) {
      _itemsBloc.add(ItemsLoadEvent.loadMoreItems(
          categories: items, document: ...));
    }

    return false;
  }

  @override
  Widget build(BuildContext context) {
    return Scaffold(
      backgroundColor: Colors.black,
      body: Container(
        child: Center(
          child: Column(
            mainAxisAlignment: MainAxisAlignment.center,
            children: <Widget>[
              Container(
                width: double.infinity,
                height: 280,
                child: Padding(
                  padding: EdgeInsets.only(
                    right: 8,
                  ),
                  child: NotificationListener<ScrollNotification>(
                    onNotification: (_n) =>
                        _handleNotification(_n, widget.items),
                    child: DraggableScrollbar.arrows(
                      alwaysVisibleScrollThumb: true,
                      controller: scrollController,
                      child: ListView.builder(
                        controller: scrollController,
                        itemCount: widget.items.length,
                        itemBuilder: (context, index) {
                          return GestureDetector(
                            child: Padding(
                              padding: EdgeInsets.all(16),
                              child: Align(
                                  alignment: Alignment.center,
                                  child: Text(
                                    widget.items[index],
                                    style: TextStyle(color: Colors.white),
                                  )),
                            ),
                          );
                        },
                      ),
                    ),
                  ),
                ),
              )
            ],
          ),
        ),
      ),
    );
  }
}

I would really appreciate any help!

Thank you for you time.