Users who send emails to a Mail Enabled Public Folder see an NDR when emailing externally even though the folder is set to allow emails without authentication.
NDR after CU6
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When you send an email to the Mail Enabled Publci Folder post CU6 you will receive an NDR such as the above.
Exchange CU6 Update Notes
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The change to the security is explained in the Exchane 2013 CU6 Notes here
Add Anonymous Permissions
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To allow emails to be sent to the folder you can use the above Power Shell to enable Anonymous CreateItems permission on the folder.
Add-PublicFolderClientPermission "\Customer Feedback" -AccessRights CreateItems -User Anonymous
Add-PublicFolderClientPermission "\Customer Feedback" -AccessRights CreateItems -User Anonymous