Moon sighting Issue: In America, there is a moon sighting organization. They claimed no moon sighting. In my state, every masjid except 1 uses calculations (let me call it N). N said no sighting. I fasted the day after most people to follow N. Was this correct, and do I need to make something up?

Ustadh AbdulAziz al-Haqqan
If there is an official moon sighting committee and they are not using mathematics for Ramadhan, then yes u can follow them.