Sending mail to a different domain

First time working with any of this. I have a wordpress website set up for a company on domain.com, with a contact form. The company already has mail set up on gmail, info@companyname.com. I want the contact form to send mail to the company's gmail. I have done several things:

• The contact form is configured to send from: domain@domain.com (default email address for my domain?) to:info@companyname.com
• The website is hosted on cPanel. From the cPanel hosting dashboard, I have set the MX entry records to Google Apps MX record values and set email routing to remote mail exchanger(which I assume means it will not handle the mail locally, but send it to the records above)
  
  
• After doing so, mail was bouncing back at domain@domain.com webmail with the error message: "No such user : info@companyname.com"
  

Completely clueless as to what is the usual procedure to going about achieving this(simply getting a contact form to send mail to gmail, a different server). There is also an option on cPanel hosting to setup an email forwarder - not sure if this is the way to go. Any explanation or help would be greatly appreciated.

Thanks in advance