Index: src/wp-admin/js/customize-nav-menus.js
===================================================================
--- src/wp-admin/js/customize-nav-menus.js	(revision 33191)
+++ src/wp-admin/js/customize-nav-menus.js	(working copy)
@@ -1994,11 +1994,11 @@
 			this.$sectionContent.sortable( this.isReordering ? 'disable' : 'enable' );
 			if ( this.isReordering ) {
 				addNewItemBtn.attr( 'tabindex', '-1' );
-				reorderBtn.find( '.reorder-done' ).focus();
+				reorderBtn.attr( 'aria-label', api.Menus.data.l10n.reorderLabelOff );
 				wp.a11y.speak( api.Menus.data.l10n.reorderModeOn );
 			} else {
 				addNewItemBtn.removeAttr( 'tabindex' );
-				reorderBtn.find( '.reorder' ).focus();
+				reorderBtn.attr( 'aria-label', api.Menus.data.l10n.reorderLabelOn );
 				wp.a11y.speak( api.Menus.data.l10n.reorderModeOff );
 			}
 
Index: src/wp-includes/class-wp-customize-control.php
===================================================================
--- src/wp-includes/class-wp-customize-control.php	(revision 33191)
+++ src/wp-includes/class-wp-customize-control.php	(working copy)
@@ -1576,11 +1576,11 @@
 		<button type="button" class="button-secondary add-new-menu-item" aria-label="<?php esc_attr_e( 'Add or remove menu items' ); ?>" aria-expanded="false" aria-controls="available-menu-items">
 			<?php _e( 'Add Items' ); ?>
 		</button>
-		<button type="button" role="presentation" class="not-a-button reorder-toggle" tabindex="-1">
-			<span class="reorder" tabindex="0" role="button" aria-label="<?php esc_attr_e( 'Reorder menu items' ); ?>" aria-describedby="reorder-items-desc"><?php _ex( 'Reorder', 'Reorder menu items in Customizer' ); ?></span>
-			<span class="reorder-done" tabindex="0" role="button" aria-label="<?php esc_attr_e( 'Close reorder mode' ); ?>"><?php _ex( 'Done', 'Cancel reordering menu items in Customizer' ); ?></span>
+		<button type="button" class="not-a-button reorder-toggle" aria-label="<?php esc_attr_e( 'Reorder menu items' ); ?>" aria-describedby="reorder-items-desc-{{ data.menu_id }}">
+			<span class="reorder"><?php _ex( 'Reorder', 'Reorder menu items in Customizer' ); ?></span>
+			<span class="reorder-done"><?php _ex( 'Done', 'Cancel reordering menu items in Customizer' ); ?></span>
 		</button>
-		<p class="screen-reader-text" id="reorder-items-desc"><?php _e( 'When in reorder mode, additional controls to reorder menu items will be available in the items list above.' ); ?></p>
+		<p class="screen-reader-text" id="reorder-items-desc-{{ data.menu_id }}"><?php _e( 'When in reorder mode, additional controls to reorder menu items will be available in the items list above.' ); ?></p>
 		<span class="add-menu-item-loading spinner"></span>
 		<span class="menu-delete-item">
 			<button type="button" class="not-a-button menu-delete">
Index: src/wp-includes/class-wp-customize-nav-menus.php
===================================================================
--- src/wp-includes/class-wp-customize-nav-menus.php	(revision 33191)
+++ src/wp-includes/class-wp-customize-nav-menus.php	(working copy)
@@ -313,6 +313,8 @@
 				'itemsLoadingMore'  => __( 'Loading more results... please wait.' ),
 				'reorderModeOn'     => __( 'Reorder mode enabled' ),
 				'reorderModeOff'    => __( 'Reorder mode closed' ),
+				'reorderLabelOn'    => esc_attr( 'Reorder menu items' ),
+				'reorderLabelOff'   => esc_attr( 'Close reorder mode' ),
 			),
 			'menuItemTransport'    => 'postMessage',
 			'phpIntMax'            => PHP_INT_MAX,