How did the two main traditions of Buddhism spread through asia

With the birth of Buddha in Nepal, from India to China, Buddhism traveled through two Buddhist missionaries, who introduced him to the court of Emperor Ming in AD 68. The sacred texts were translated into Chinese and many years later, during the Tang Dynasty, a Chinese monk went the other way, going to India, there researching and organizing Buddhist sutras. After seventeen years, he returned to China with great volumes of Buddhist texts, dedicating himself from this moment to pouring them into Chinese. Thus, Buddhism was soon prepared to spread throughout Asia.