Errors in defining MySQL backup

The problem is the lack of support for the MySQL passwords of the old type. The sites https://dev.mysql.com/doc/internals/en/old-password-authentication.html is shown information that support for old password type was excluded because it is a less secure form login. A proposal of the solution to the problem is to create a new MySQL user account for the purpose of backup or move to a new type of authentication while keeping the old account.