Yoga is an exercise comprised of controlled breathing and posture, and bhoga means enjoyment. The term “yoga bhoga” does not have a widely acknowledged meaning.
Yoga Bhoga is most commonly referenced as the name of a yoga school in Portland, Oregon. The school advertises itself as having a blend of many styles of yoga. A school in Austin, Texas, named Yoga Yoga uses the term in reference to enjoying a spa after a yoga exercise session. In both cases, the term is used as a form of clever advertising to entice customers and does not seem to have any historic meaning.