To download and restore mac os your computer's eligibility will be verified with apple

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Restore From Time Machine Backup:Restore your Mac from a Time Machine backup.After starting up from macOS Recovery, select a utility, then click Continue:.Startup is complete when you see the utilities window:.Enter the requested password to continue. You might be prompted to enter a password, such as a firmware password or the password of a user who is an administrator of this Mac.Release the keys when you see an Apple logo, spinning globe, or other startup screen.Turn on your Mac and immediately press and hold these two keys: Command (⌘) and R.You can start up from macOS Recovery and use its utilities to recover from certain software issues or take other actions on your Mac. MacOS Recovery is part of the built-in recovery system of your Mac.