A real creature that is a crossbred lion and tiger is called a liger or a tiglon.
From the en.wikipedia.org
It is distinct from the similar hybrid tiglon.
From the en.wikipedia.org
For example, a liger is a cross between a male lion and a female tiger, while a tiglon is a cross between a male tiger and a female lion.
From the en.wikipedia.org
Any mane that a male tiglon may have will appear shorter and less noticeable than a lion's mane and is closer in type to the ruff of a male tiger.
From the en.wikipedia.org
More examples
Offspring of a male tiger and a female lion
A tiglon or tigon is a hybrid cross between a male tiger (Panthera tigris) and a lioness (Panthera leo), hence has parents with the same genus but of different species. ...