Message Identifier Problems in Outlook 2010

Message Identifier Problems in Outlook 2010

have one email address "me@mydomain.com" and I use Gmail as my server so I have a Gmail address "me@gmail.com". 

I have set up Gmail to show both send and get addresses as "me@mydomain.com". At the point when I send an email from Outlook 2010 it shows the from address as "me@mydomain.com", however when the beneficiary gets it, it is appeared as originating from "me@gmail.com". 

How might I get Outlook 2010 to show the sending address as "me@mydomain.co                          email help line number