Hello shannon yang,
Thanks for your question.
Authenticator is just a 2FA method in this instance, as such controls authentication not account information.
You cannot reinstall back the last phone information in MFA, what you require is the account to be reset. This will prompt the account password and authenticaton details to be reset. Pls inform the meta team to help you do this (reset the account) and you can re-register on your new phone.
You can mark it 'Accept Answer' and 'Upvote' if this helped you
Regards,
Abiola