Thank you for sharing your experience, @mollybrooks! At this time, when your Doorbell Pro falls offline, there will be a couple indicators within the Ring app. As described further in our help center article, a message about your devices being offline can appear in the Ring app and your Device Health section of the Ring app will reflect an offline status.
We always value our neighbors’ feedback. Feel free to add your feedback to this feature request where other neighbors have asked for an offline notification. We use the Feature Request board to gather and share new ideas with our teams here.
@Hockeygoon96, in regards to your inquiry about motion notifications, the best next step will be to go through all the motion options for the Doorbell and adjust them accordingly. Please ensure your motion notifications or enabled, and that there is not Modes or motion scheduling interfering with you receiving motion alerts. I hope this helps! 