What are the rising constellations of the sun and the moon in charge of?

The word of the sun is definitely "inner self".

Sun represents: self, external image, externalism and life energy.

Constellation, house and phase of the sun: the subject is influenced by paternal line, father and son.

The formula of the moon is emotion and instinct.

The moon represents: woman, mother, inner subconscious, emotion.

The constellation, house and phase of the moon: the subject is influenced by family morality, maternal lineage, mother, daughter and family environment.

Ascending constellation, life palace, basic character, temperament, image, etc.

Rising represents: soul, external behavior, attitude towards life.

(Generally, the sun sign is your own sign. )

I hope it helps ~