In my Node application, I store in the DB a long-lived user facebook access token and run a cron periodically.
There's a way to renew that access token after the 60 days without asking the user to renew it in my mobile app? I use fbgraph node module to communicate with the graph API, so maybe there's a way to renew that token from the backend itself without going to the mobile app, ask for status and login again with the JavaScript SDK.
Tokens always need to be refreshed with user interaction, there is no way to auto-refresh them.
But you don´t need to login again, you just need to use this function to refresh the User Token: https://developers.facebook.com/docs/reference/javascript/FB.getLoginStatus/