We have not had any specific reports regarding Exodus or Kodi. They may have updated it to detect programs like Jaksta and shut down the stream. We will make a note of it, but for now you may just need to wait for a future update that will hopefully address the issue.
As an alternative you should be able to use the Screen Recorder to live-capture the video.
From Liam @ 03 May 2017 12:05