Adding back binding to QueryText and updating the cursor position similar to how wox originally did it.

src/modules/launcher/PowerLauncher.UI/LauncherControl.xaml

@@ -375,6 +375,7 @@
             x:FieldModifier="public"
             Style="{StaticResource CustomAutoSuggestBoxTextBoxStyle}"
             PlaceholderText="Start typing"
+            Text="{Binding QueryText}"
             Height="60"
             ScrollViewer.BringIntoViewOnFocusChange="False"
             Canvas.ZIndex="0"

src/modules/launcher/PowerLauncher/MainWindow.xaml.cs

@@ -354,6 +354,12 @@ namespace PowerLauncher
             {
                 _launcher.AutoCompleteTextBox.PlaceholderText = String.Empty;
             }
+
+            if (_viewModel.QueryTextCursorMovedToEnd)
+            {
+                _launcher.TextBox.SelectionStart = _launcher.TextBox.Text.Length;
+                _viewModel.QueryTextCursorMovedToEnd = false;
+            }
         }
 
         private async Task DelayedCheck(DateTime latestTimeOfTyping, string text)