How to solve the problem with the vps server (does not accept mail)?

Question

Network administration

Hello.
Server - centos, Ispmanager, mailer - exim Trouble -
does not accept messages.
Send - are sent...
No inbox list is displayed in any mail clients. It's just 'empty'...
What could be the problem?
I will add: if you check the "send a copy" to a third-party email, then when the message arrives at the server, it is not in the inbox, but a copy is sent to the email that was specified.
Here are the screenshots:

on the last one:
1) the result of outgoing mail,
2) the result of incoming mail

Answer 1

Use SwaiftMailer, for example, in conjunction with biz.mail.ru .
This has a lot of advantages:
- no need to set up a mail server;
- it is easy to view mail through mail.ru, including using mobile applications, etc.

Answer 2

250 OK
RCPT TO:[email protected]
550 relay not permitted
DATA
503-All RCPT commands were rejected with this error:
503-relay not permitted
503 Valid RCPT command must precede DATA

Set up EXIM for your domain. And then your server looks at another domain

220 vip-decorate.ru ESMTP Exim 4.72 Thu, 07 Aug 2014 13:21:33 +0400