Here is how you can fill in the blanks in the sentence:
After the Han Chinese conquered what is now Vietnam, the Vietnamese people adopted Confucianism, Buddhism, and Daoism. In the Philippines, a sultanate controlled by Islam led to the spread of Hinduism and Islam in the area.
So the final sentences would look like this:
"After the Han Chinese conquered what is now Vietnam, the Vietnamese people adopted Confucianism, Buddhism, and Daoism. In the Philippines, a sultanate controlled by Islam led to the spread of Hinduism and Islam in the area."