What you have here is called an orphan user. that is, the user exists in the restored database, but is not configured as a login on the database server.
If the user is a built-in Windows login, adding a login to the database server is all you need to do. If this is SQL Server login, then this is a bit more complicated:
To get a report of these lost users in the restored database, run:
USE restored_database GO exec sp_change_users_login @Action='Report'; GO
To re-create the database at logon and associate it with the restored database startup:
EXEC sp_change_users_login 'Auto_Fix', 'user', 'login', 'password'
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