by Marcel Bootsman on WordPress.org
Display the 'Search Engines Discouraged' notification in the WordPress Toolbar if the blog_public option has been checked.

Go to Settings > Reading to Discourage search engines from indexing this site
The “Search Engines Blocked in Header” plugin enhances your WordPress experience by displaying the “Search Engines Discouraged” notification directly in the WordPress Toolbar. This notification, previously located in the Right Now box starting from WordPress 3.2, ensures that you are always aware of your site’s search engine visibility status.
By simply activating this plugin, you’ll have immediate access to vital information about whether search engines are discouraged from indexing your site. This is particularly useful for site administrators and super admins who need to monitor the visibility settings of their WordPress sites closely.