Which level of management uses the mechanisms established by the Progress theme to control any...

The mechanisms established by the Progress theme in PRINCE2 are used by all levels of management to control any unacceptable deviations. This includes the Project Board, Project Manager, and higher management levels, ensuring that everyone involved in the project management team can effectively monitor and control the project's progress and address issues as they arise. References: PRINCE2 Foundation manual, PRINCE2 official resources