Potential bluetooth related "continuation" problem
I don't know if this problem is unique to me, but in my research of recreating the problem, it seems to have started happening since the last Podcast Addict update.
I use the built-in bluetooth capability of my car radio to listen to the podcasts I download with the app. It behaved quite well for the many months I used the app.
In the past, I have always just shut off the car, which shuts off the radio, which causes podcast addict to automatically "pause" as expected. But recently, the same sequence of events work as before, but after a random amount of time ranging from 1 to 30 seconds or so the podcast starts to continue again and play from the phone's speaker.
This is obviously a disturbing behavior because I am mostly walking in a parking garage when that happens. It is somewhat embarrassing. Plus, stopping it is difficult. When this occurs, the Podcast Addict interface doesn't seem to respond to the play/pause button. I have to kill the app to stop it from playing.
I have not done any OS updates since before this started to happen. It also does not happen with the other apps I use and play through the car radio in the same way (Pandora, Spotify, etc.). I have no other reason to think it is anything other than a buggy behavior of Podcast Addict.

Please send me an email in case you’re still experiencing any issue (Settings/Feedback/Email)
Thanks
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Chris Jean commented
I've had the first part of this (starts playing on the phone after disconnecting Bluetooth) happen to me, but I've never had problems interacting with the app to get it to stop when it occurs.
It's a fairly recent development that started around June 2014 and is very rare.