Some first generation hybrids[f1] are viable and fertile, but when they mate with each other or back to either parental species[P}, the successive generations[f2] are sterile or feeble. this concept is known as hybrid breakdown. This is often seen in hybridized forms of domestic crops. I am aware that some female tiger/lion hybrids are fertile, but I'm unaware of successful breeding of the f2 generations. It could be a case of hybrid breakdown.
Article about hybrid breakdown in rice
Hybrid breakdown in Cichlid Fish