Supabase Administration Consultation - Already have a working App

We have a working app on lovable that we are about to go live in a week timeframe. It is on Lovable cloud managed. We just migrated the backend DB to supabase native. However, we are having tough time to check if we setup correctly or not. especially around authentication. We also have plans to set up native mobile app. Which should also use the same backend DB. So your guidancewill be greatly appreciated.