How did Han Yu reestablish Confucianism and Taoism?

Han Yu's thoughts originated from Confucianism, but there were also deviant words. He pretends to be Confucian orthodoxy, opposes the purity and silence of Buddhism and the superstition of theocracy, but believes in the fate of ghosts and gods; He praised Mencius for expelling Yang Zhu and Mohism, and thought that Yang and Mohism ignored the right path and advocated using Confucius and Mohism. He advocated that Confucius should be king and should be humble and overbearing. While praising the achievements of Guan Zhong and Shang Yang,

Han Yu hates Buddhism. In the 14th year of Yuanhe (8 19), Tang Xianzong sent envoys to Fengxiang to greet Buddha's bones, and the capital once set off a Buddhist frenzy. Regardless of his personal safety, Han Yu resolutely stepped onto the Buddha's bone table, denouncing the unreliability of the Buddha's bone, and demanding that the Buddha's bone be "thrown into fire and water, immortal, breaking the doubts of the world and confusing future generations." When Xian Zong got the watch, Yan Long was furious and sentenced him to death. Fortunately, Pei Du, the prime minister, and the ministers in the DPRK tried their best to intercede, only to avoid death, and he was demoted as the secretariat of Chaozhou.

Han Yu lashed out at Buddhism and Taoism all his life.