Sharing the link to your audio page will embed the audio file directly inside Facebook, to be played right inside people's timelines whenever possible.
You can do this right from the 'Embed' page inside Audello. Click on the 'Share your file' tab, and then click either the G+, Facebook or Twitter buttons to share.
To ensure that your file gets embedded into Facebook if you post it on your site, you'll need to include OpenGraph tags in your page. There are many, many plugins out there for WordPress and other such platforms to allow you to do this, or you can add the HTML yourself.
You can view the source code for the page that Audello generates for you, and check out the included OpenGraph data there for an example of what works!