The reason why they are called Jin State and Liao State is because the dynasty we are talking about not only refers to the country where a certain regime was established, but also refers to the time span of a certain regime. Song dynasty also refers to the feudal dynasty established by Zhao regime, and also refers to the period from 960 to 1279.

Song, Liao and Jin are three countries standing side by side. Since we have used the Song Dynasty to refer to this period, if we call Jin Liao a dynasty again, it will cause confusion in time, so we should call it Jin Liao. Of course, the reason why we use the Song Dynasty to refer to this period is not because the Song Dynasty was a political power established by the Han people, but because the political, cultural and economic development of the Song Dynasty was more developed than that of Jin and Liao Dynasties, and the political power existed for a long time and its influence in all aspects was greater than that of Jin and Liao Dynasties. It is an international practice to refer to a certain period with mainstream political power.