Install either the Podbean or Overcast app for either Apple or Android devices. Use the search button at the top and enter 'Daily Bible Reading Podcast'. Choose the blue icon is for the NLT podcast series, and the green one for the GNT series.
There is a dedicated Daily Bible Reading Podcast app for Android devices.
This is the best ad-free way to listen to the DBRP. This is only available on Android devices.