Hello GeekNom0r3,
Thanks for reaching out to the Apple Support Communities! I understand that you are having some issues adding files to the all new Podcast app in macOS Catalina.
Are the files you're trying to import ones which you downloaded from the iTunes Store or from another source? If these are .mp3 files, they will not be added to the Podcast app, but you can add them to the Music App. If you are downloading them from another source, check to see if they offer an Apple Podcast version.
Listen with Apple Podcasts
Import music from a computer to Music on Mac
If you'd like to leave feedback about any future features you'd like to see in the macOS Podcast app, be sure to do so here: Product Feedback.
Be sure you're using Finder in macOS Catalina to sync files to your iPod, also: Use the Finder to sync your iPhone, iPad, or iPod with your computer.
All the best!