Both are correct. 🍂

• Fall — more common in Canadian and American everyday English, especially in sports, news, and casual writing.
• Autumn — a little more traditional or formal and is especially common in British English.

For BevNice.ca and our Saint John/Atlantic Canada readers, I would use “fall” in a sports post because it sounds natural:

For a post about New Brunswick colours, scenery, or seasonal traditions, “autumn” can give it a warmer, more picturesque feel.