Step 1 is to find all the modules your application depends on. Hopefully you know what these are, if not, try greping your code directory for all use statements.

Step 2 is to try to find apt packages for those modules. Hopefully someone else has already made them, otherwise you will need to do so yourself (create deb for Perl module). Then you can package your code as a Deb, listing all the dependencies you found in step 1. Those, in turn, may depend on yet other dependencies.