What did the ancients name themselves after?

Ancient people named themselves at different stages. Before the Tang Dynasty, there was only one word for a person's name. Moreover, the word is usually more representative, either representing his family ranking, such as Liu Bang, also known as Liu Ji, or representing his family's expectations of them. And this word is generally used more frequently, because the ancients didn't like to have the same name. In the late Tang Dynasty, a large number of three-character names appeared one after another. In order to imitate the sage family, the generation was introduced into the name, and surname+generation+name became the mainstream. Modern times are different. What should I call it? The name has become a kind of packaging, and its cultural connotation is much less.