ZED RUN has been designed to mimic elements of real-world horse racing. Similarly, there is a small element of unpredictability when breeding two racehorses together. It is possible for non-Genesis racehorses to produce champion offspring.
If your goal is to breed champion racehorses, you'll want to analyse all available information about the racehorses you choose to breed with, looking carefully at:
DNA profile, and
Performance history on the racetrack
Each offspring is born with a new DNA profile (bloodline, genotype, breed type and coat colour), and also inherits a mixture of abilities and attributes passed down from its parents.