Select your favorite stream and check that offers you a podcasts. Look for the icon that is visible below.
Click on podcast icon, after that "Click on link to copy the podcast to your clipboard". Close the podcast popup info.
Open the Apple Podcast app and click on the Library tab along the bottom and select the edit option in the top right:
Select from the list below Add a podcast by URL... option.
Paste your previously copied link and click Subscribe.
You should see the podcast populate under the Listen Now and Library tabs. Have fun!