Hosting two sites on one IP (odoo)

I have 2 domains on my linode account (same IP address) - siteone.com and sitetwo.com. I am running an odoo site and within odoo I have both siteone.com and sitetwo.com defined (they are slightly different in terms of content).

Based on information and assistance I gained via the Linode site, I have been able to set this up and it functions almost as I need. It is close but not quite working as needed. In particular, from a web browser if you go to either www.siteone.com or siteone.com the browser brings up the proper siteone.com content. In terms of bringing up the sitetwo.com content from a browser it works fine if you specify www.sitetwo.com, however, if you specify the simplified sitetwo.com it actually brings up the siteone.com content.

Previously, I had tried using cname records to try and get any request for sitetwo.com to actually direct to www.sitetwo.com so that the correct content would come up, however, was unsuccessful. In the past also, I recall Linode staff directing me to some odoo documentation and odoo support, however, none of that has proven to be useful for me to resolve. At this point, I am hoping that someone might be able to help me given the description I have outlined above. The good news is you can bring up the sitetwo.com content by including the www in the address, however, I really need it to go to the sitetwo content if someone just enters the address as sitetwo.com. It seems that I am so close but just not quite. Is there a simple or any solution here?

If anyone has had such experience and perhaps used odoo to setup 2 similar but separate sites perhaps you would be able to suggest a solution that would work. I appreciate any assistance or direction that could be suggested. Thank you.