To play Podcasts from Audacy on your Sonos, open up the Sonos app (either the Sonos S1 app or the new Sonos S2 app, depending on your home's configuration) on your mobile device.
Select Browse (the musical note symbol).
Choose the Audacy Service.
You may browse by category, city, station, or view all podcasts.
For this example, I'm going to choose to browse by station, and choose KYW Newsradio 1060, then choose what show you want to listen to.
Finally, choose an episode and it will begin playing on your chosen devices.