diff --git a/lib/matplotlib/backends/backend_macosx.py b/lib/matplotlib/backends/backend_macosx.py
index 073debd249df..802f6ecec5e0 100644
--- a/lib/matplotlib/backends/backend_macosx.py
+++ b/lib/matplotlib/backends/backend_macosx.py
@@ -216,6 +216,7 @@ class _BackendMac(_Backend):
     FigureCanvas = FigureCanvasMac
     FigureManager = FigureManagerMac
 
+    @staticmethod
     def trigger_manager_draw(manager):
         # For performance reasons, we don't want to redraw the figure after
         # each draw command. Instead, we mark the figure as invalid, so that it
diff --git a/lib/matplotlib/backends/backend_webagg.py b/lib/matplotlib/backends/backend_webagg.py
index 33353dbda68f..6d471977ba81 100644
--- a/lib/matplotlib/backends/backend_webagg.py
+++ b/lib/matplotlib/backends/backend_webagg.py
@@ -108,8 +108,7 @@ def get(self):
                 "all_figures.html",
                 prefix=self.url_prefix,
                 ws_uri=ws_uri,
-                figures=sorted(
-                    list(Gcf.figs.items()), key=lambda item: item[0]),
+                figures=sorted(Gcf.figs.items()),
                 toolitems=core.NavigationToolbar2WebAgg.toolitems)
 
     class MplJs(tornado.web.RequestHandler):
@@ -326,7 +325,7 @@ def ipython_inline_display(figure):
 @_Backend.export
 class _BackendWebAgg(_Backend):
     FigureCanvas = FigureCanvasWebAgg
-    FigureManager = FigureManagerWebAgg
+    FigureManager = core.FigureManagerWebAgg
 
     @staticmethod
     def trigger_manager_draw(manager):