The Magento 2 Admin Payment Method Pro extension allows store admins to generate new orders in the backend and provides over 9 payment methods for efficient order management, including features like automatic invoice and shipment generation. This extension enables handling of offline payments and enhances productivity by streamlining processes, with options for pre-selecting orders and customizing payment methods. It is user-friendly, compatible with the latest Magento versions, and supports detailed payment tracking and notifications for customers.