When I click "sign in with a Microsoft account" and then "save to microsoft account" it brings up the sign in on another device site address and code. We've done this multiple times. Still, the game will not login to my account and stay logged in.
Related issues
duplicates
Comments

Thank you for your report!
We're actually already tracking this issue at MCPE-95651, so I will resolve and link this ticket as a duplicate.
If you would like to add a vote and any extra information to the main ticket it would be appreciated.
If you haven't already, you might like to make use of the search feature to see if the issue has already been mentioned.
Quick Links:
📓 Issue Guidelines – 💬 Community Support – 📧 Customer Support – ✍️ Feedback and Suggestions – 📖 Game Wiki