You can add the blog categories to your podcast episodes by adding this snippet to your theme (or child theme):
That will add your blog categories to your podcast episodes in the dashboard, but it still won’t have any effect on the frontend of your site. So in order to have the episodes who up when you look through the category archives on your site, you will need to add the following code as well:
Now, depending on your theme (i.e. if your theme or another plugin, do too much messing around with the category archive query), there’s a chance that this snippet will not work. If it does not work then you will need to contact your theme developer and ask how you can add the
podcast post type to your category archives.