Edit: Bluetooth audio problems are affecting a lot of users since Catalina.
https://discussions.apple.com/thread/250793838?login=true&page=25
LeonardLooi
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Hi, I am facing this issue as well. Handoff between iPhone and iPad working well. However, Big Sur does not able to connect to either iPhone or iPad. Universal Clipboard is affected as well. (edit: issue resolved after signing in to iCloud on web and turning bluetooth on and off)
Speaking of bluetooth issue, I am facing bluetooth speaker (JBL Flip 5) static sound after connecting Magic Mouse, magic keyboard to MacBook Pro Big Sur. Occasionally, Magic Mouse will become sluggish when all three devices are connected to MacBook Pro through Bluetooth.
Appreciate if anyone can submit this feedback error report to Apple as I could not do so as a non-developer.
Thank you very much.