Complex sentence: Chinese authorities took issue with how "Seven Years in Tibet" portrayed the People's Liberation Army in their invasion of Tibet in 1949 and that Jetsun Pema, the sister of the exiled 14th Dalai Lama, was cast in the film.
Split into simpler sentences: Chinese authorities took issue with how "Seven Years in Tibet" portrayed the People's Liberation Army in their invasion of Tibet in 1949. They also took issue with Jetsun Pema, the sister of the exiled 14th Dalai Lama, being cast in the film.