Not sure which phone you have, I have a Pixel 5. After setting what @Ken.S provided, make sure your permissions are set to allow SMS and other options. By these not being on, may cause issues with the notifications. In addition, make sure you set the app to run in background, what is interesting to me is that I do not have the “Running in the Background” selected in the app, the Watch actually enforces it even though mine is not checked.
Here is the image of what permissions are set on my phone
Here is an image of how I have the Battery set as it indicates it needs to be set to run in the background. I actually turned off the Adaptive battery option for the Wyze App.