Relay Connector From an External IP

Hello,

We have Exchange server 2013 roll up 10. From internal network we use recieve connector for printers and scanner and then we can send e-mail accepted domains and external domains without problem.

Also our e-arsiv system works external network. We need to send e-mail via our exchange server. I created one user then create one connector ı have added our server public IP but we can not send e-mail. 

issue is

"Sending email failed with Caused by: javax.mail.MessagingException: [EOF]

"

Also ı run this powershell but nothing changed

Add-ADPermission "name of connector" -User "NT AUTHORITY\ANONYMOUS LOGON" -ExtendedRights "Ms-Exch-SMTP-Accept-Any-Recipient"

How can we solve this problem?

Thanks.

Murat ER Microsoft Certified Systems Administrator