I knew the chances of finding my daughter were cut in half after 36 hours of "
her being reported missing."
我想請問
of後面要接名詞性質的詞，字或句子
可是being reported雖然是"被報導"的意思
但reported很明顯就是動詞性質
這樣不符合介系詞後的用法不是嗎？

being reported是被動的動名詞

of（介）+ noun（名詞）/V-ing (動名詞）