Aaron Axelsen

Overrides the <code>wp_notify_moderator</code> function located in pluggable.php. By default, wordpress does not notify a comment author of a moderation 
event. This plugin will look at all users in the blog, and notify anyone who can moderate the plugin, along with the admins and the author 
of that post. This has been tested and does work with WPMU as well.

Post Author Comment Notification

Overrides the wp_notify_moderator function located in pluggable.php.  By default, wordpress does not notify a comment author of a moderation

Mehdi Kabab

By default WordPress sends moderation request of new comments to the e-mail address defined in the <a href="https://codex.wordpress.org/Settings_General_SubPanel" title="Settings General SubPanel « WordPress Codex" rel="nofollow ugc">General Settings Subpanel</a>. However, you do not have an email address shared between your administrators or a mailing list. In this case, the plugin Notification to all Administrators has been created for you!
Also, WordPress sends notifications to the author of the post only. With the plugin Notification to all Administrators, all your administrators receive this notification.
Note: This plugin does not overwrites functions like <code>wp_mail</code>, or <code>wp_notify_moderator</code>.
<h4>Requirements</h4>
Notification to all Administrators requires <code>PHP5</code>.

Notifications to all Administrators

Enable moderation requests and notifications by email to all administrators.

Post Author Comment Notification vs Notifications to all Administrators