module layout and source shouldn't infuence SEO URLs of the module itself.
Can you please explain your problem and/or post a live URL where I can take a look?
Normally, if in your Joomla all the SEO/SEF options are turned on, you can turn on all the SEO options of Digi Showcase. It should generate the same URL as Joomla generates.
Is your .htaccess file properly configured to manage SEF URLs?