Divided into ancient poetry and modern poetry.
Classical poetry is divided into four words, five words, seven words and miscellaneous words
Modern poetry is divided into quatrains and metrical poems.
If it is a classification of dynasties, it shows that the Book of Songs in the Spring and Autumn Period was originally classified into one category.
From the Spring and Autumn Period to the Han Dynasty, Li Sao was divided into one category.
From the Han dynasty to the Sui dynasty, it was also divided into one category, but unfortunately the representative works were not well understood.
Tang poetry is so famous that it is another kind.
Followed by Song Ci.
Yuan zaju
Take poetry of Ming and Qing Dynasties as another category.
Next is modern poetry.
That's all I know