Sport Pilot Gyroplane rating

Minimum training requirements for a Sport Pilot Gyroplane rating are included in the Federal Aviation Regulations, Part 61 Subpart J. The items listed below are specific excerpts intended to provide an overview of the primary requirements:

20 hours of flight time, including 15 hours of flight training from an authorized instructor in a gyroplane and at least five hours of solo flight training in the areas of operation listed in §61.311
The EAA provides general information on the sport pilot certificate here (external link).
The eCFR website provides more detailed information from Part 61 Subpart J here (external link).