Can I say "are being taken care of" like this?
In China, the most common situation is that old people are being taken care of by their descendants - their sons and daughters bear all the outcome for their living.

Question

Answer

In China, the most common situation is that old people are taken care of by their descendants - their sons and daughters bear all the responsibility for their lives.

It sounds better to leave out the "being." I also changed to "responsibility" and "lives."