If you are facing issue in connecting air pods with Mac OS Big Sur then follow below step on how to fix bluetooth issue easily.
How to fix bluetooth issue in Big Sur
To fix issues with Bluetooth devices not working in macOS Big Sur try opening up Finder and then click on ‘Go’ in the top menu, then ‘Go to Folder…’. Type in ‘/Library/Preferences’.
From there, you should see a file called ‘com.apple.Bluetooth.plist ‘. Select and delete the file (or move it to another folder for safe keeping), then restart your Mac and try connecting your Bluetooth device again.