I have the Ubuntu 14.0.5 droplet (X64) and installed Vesta Panel with Ngynx by following the link:

https://www.digitalocean.com/community/tutorials/how-to-install-vestacp-and-set-up-a-website-on-ubuntu-14-04

I have problems sending emails. I created an e-mail in Vesta Panel called myemail@mydomain.com.br and other otheremail@mydomain.com.br called. Emails normally receive. But there is failure when sending e-mail recipient is in another domain.

Example:
Send email myemail@mydomain.com.br to otheremail@mydomain.com.br (Ok - Success)
Send email myemail@mydomain.com.br to example@hotmail.com (Not Ok - Failure)

My var/log/exim4:

2016-09-02 21:25:09 1bfvnF-0006pC-LQ mx1.hotmail.com [XXXXXXX] Connection timed out
2016-09-02 21:25:09 1bfvnF-0006pC-LQ == example@hotmail.com R=dnslookup T=remote_smtp defer (110): Connection timed out
sender verify defer for example@hotmail.com: host lookup did not complete

The file etc/exim4/exim4.conf.template
[...]
dnslookup:

driver = dnslookup

domains = !+local_domains

transport = remote_smtp

no_more

dclocaldelivery='mailspool'

In Vesta Panel, the firewall is:

ACCEPT
PORT: 25,465,587,2525
IP: 0.0.0.0/0
TCP

Please, I'm already there several hours trying and I'm not getting.
If you can give me step by step what I have to do.
PS: I do not have advanced knowledge in linux