[Android] Shell: Fix OnBackButtonPressed not firing for navigation bar back button

src/Controls/src/Core/Compatibility/Handlers/Shell/Android/ShellToolbarTracker.cs

@@ -233,6 +233,10 @@ protected async virtual void OnNavigateBack()
 		{
 			try
 			{
+				// Call OnBackButtonPressed to allow the page to intercept navigation
+				if (Page?.SendBackButtonPressed() == true)
+					return;
+
 				await Page.Navigation.PopAsync();
 			}
 			catch (Exception exc)

src/Controls/tests/TestCases.HostApp/Issues/Issue33523.cs

@@ -0,0 +1,75 @@
+using Microsoft.Maui.Controls;
+
+namespace Maui.Controls.Sample.Issues
+{
+	[Issue(IssueTracker.Github, 33523, "OnBackButtonPressed not firing for Shell Navigation Bar button in .NET 10 SR2", PlatformAffected.Android)]
+	public class Issue33523 : Shell
+	{
+		public Issue33523()
+		{
+			var mainPage = new ContentPage
+			{
+				Title = "Main Page",
+				Content = new VerticalStackLayout
+				{
+					Children =
+					{
+						new Label
+						{
+							Text = "Click the button to navigate to TestPage",
+							AutomationId = "MainPageLabel"
+						},
+						new Button
+						{
+							Text = "Navigate to TestPage",
+							AutomationId = "NavigateButton",
+							Command = new Command(async () => await Shell.Current.GoToAsync("TestPage"))
+						}
+					}
+				}
+			};
+
+			Items.Add(new ShellContent { Content = mainPage, Route = "MainPage" });
+
+			Routing.RegisterRoute("TestPage", typeof(TestPage));
+		}
+
+		class TestPage : ContentPage
+		{
+			private Label _statusLabel;
+
+			public TestPage()
+			{
+				Title = "Test Page";
+
+				_statusLabel = new Label
+				{
+					Text = "OnBackButtonPressed not called",
+					AutomationId = "StatusLabel"
+				};
+
+				Content = new VerticalStackLayout
+				{
+					Children =
+					{
+						new Label
+						{
+							Text = "Click the Navigation Bar back button (←)",
+							AutomationId = "InstructionLabel"
+						},
+						_statusLabel
+					}
+				};
+			}
+
+			protected override bool OnBackButtonPressed()
+			{
+				// Update the label synchronously
+				_statusLabel.Text = "OnBackButtonPressed was called";
+
+				// Return true to prevent navigation (so we can verify the label changed)
+				return true;
+			}
+		}
+	}
+}

src/Controls/tests/TestCases.Shared.Tests/Tests/Issues/Issue33523.cs

@@ -0,0 +1,41 @@
+using NUnit.Framework;
+using UITest.Appium;
+using UITest.Core;
+
+namespace Microsoft.Maui.TestCases.Tests.Issues
+{
+	public class Issue33523 : _IssuesUITest
+	{
+		public override string Issue => "OnBackButtonPressed not firing for Shell Navigation Bar button in .NET 10 SR2";
+
+		public Issue33523(TestDevice device) : base(device) { }
+
+		[Test]
+		[Category(UITestCategories.Shell)]
+		public void OnBackButtonPressedShouldFireForShellNavigationBarButton()
+		{
+			// Verify we're on the main page
+			App.WaitForElement("MainPageLabel");
+
+			// Navigate to TestPage
+			App.Tap("NavigateButton");
+			App.WaitForElement("StatusLabel");
+
+			// Verify initial state
+			var statusLabel = App.WaitForElement("StatusLabel");
+			Assert.That(statusLabel.GetText(), Is.EqualTo("OnBackButtonPressed not called"));
+
+			// Tap the navigation bar back button
+			// Note: This uses the Shell's navigation bar back button, not the system back button
+			App.TapBackArrow();
+
+			// Wait a moment for the event to fire
+			App.WaitForElement("StatusLabel");
+
+			// Verify OnBackButtonPressed was called
+			statusLabel = App.FindElement("StatusLabel");
+			Assert.That(statusLabel.GetText(), Is.EqualTo("OnBackButtonPressed was called"), 
+				"OnBackButtonPressed should be called when tapping the Shell Navigation Bar back button");
+		}
+	}
+}