@Enev sent me the module, thanks for that.
The module in question modifies the way product routes are handled in core - it overrides default product route that is defined in Preferences > SEO & Urls
This is one of the few areas where thirtybees is intentionally not compatible (other areas are full page caching, for example).Thirtybees come with build-in 'pretty url' feature, so its dispatcher is very different from the ps16 dispatcher. This module attempt to hack it fails, unfortunately.
From the module code it's obvious that this was always a friction point. When any friendly-url module was installed, this module stopped working, and additional hacks needed to be implemented. In the code you can find special cases for modules mpcleanurls, psseobooster, Advanced Url module, cleanurls, prettyurls.
I'm afraid this is indeed not compatible module. It's up to its author if he adds compatibility for thirtybees friendly-url implementation.