Do they breed the big cats?

Yes

Please do not visit this vile petting zoo that is masquerading as a "wildlife foundation" and "rare and endangered species educator." The loathsome petting-zoo industry forces mother animals to churn out cubs, who are torn away from them soon after birth. The petting zoos charge the public to hold or take photos with the cubs, who are kept in cages and are often denied basic, vital care. When the cubs get too big and dangerous, they can end up caged for life in abusive roadside zoos, circuses, or backyards. Some of them are killed in canned hunts, while others are forced to breed more cubs, and the vicious cycle continues. Real wildlife foundations and real endangered species educators never allow public encounters or photo ops with wild animals; they never buy or sell wild animals; they never breed wild animals (unless they are in an AZA-approved SSP, which ZWF is not); and they never cart wild animals to fairs or other venues for entertainment.