You can now export your playlist from the Play list screen option menu. This result in a .m3u file that you can share with a third-party app like BubbleUPnP to then listen to the playlist on non-Chromecast compatible devices such as Sonos, BlueSound, Amazon Echo, and UPnP devices.
Please note that this doesn't mean Podcast Addict natively supports these devices yet, but it offers a workaround to enjoy your podcasts on a broader range of devices.
For more information about this feature and its limitations, please refer to this FAQ.
As always feel free to contact me if you have any questions.