in order to get big sur to recognize your USB drive & show it on the desktop Open Disk Utility
Choose "Show All Devices" from the View menu
Select the destination drive hardware (above the existing volume)
Click Erase
Choose the "GUID" partition scheme (2nd pop-up), THEN "APFS" formatting (1st pop-up) and name appropriately
Click Erase
if you have files on the USB drive you should be able to open them with an app & then save them, if they are essential, before you erase.
Topic:
App & System Services
SubTopic:
Core OS
Tags: