State governments and the Federal government hold different powers. In Australia the exercise of health care is a state-level responsibility, hence state-wide health orders leading to successful COVID management. The management of prescription medicines and their costs is borne by the Federal government.
The states that "beat" COVID are currently led by progressive parties, while the Federal government is conservative and, allegedly, incredibly corrupt.
The Federal government is to blame for the vaccination rate. The states that "beat" COVID have generally done so by going against the Federal government's advice to 'open up and live with it'.