Good sanctuaries don't breed animals. While there are rare exceptions, a good rule of thumb is to always ask if a center if they allow breeding; if they say yes, walk away.
"No legitimate sanctuary will have babies," Big Cat Rescue, a sanctuary in Florida, says. "If you see a facility that often has babies, then you know they are part of the problem, not the solution."
Of course, some sanctuaries will have babies whom they rescued, or whose mothers arrived pregnant - especially at farm sanctuaries. But all adult animals should be on birth control or separated when possible.
While many facilities will say it's OK because they're breeding animals for conservation purposes, particularly with big cats, don't fall for it. These animals are rarely, if ever, returned to the wild, and often exist only to draw traffic.