Culture is passed from generation to generation.

Literal

Culture [topic-は] generation [from-から] generation [direction-へ] [quotative-と] is-transmitted.

世代から世代へと traces a path from one generation to the next. The と after へ adds a sense of directional flow — it's not strictly necessary but makes the transmission feel continuous. 伝えられる is the passive of 伝える ('to convey, transmit'), here used in its broad sense of 'be handed down.' The agent is left unmarked, which is normal for sentences expressing general or impersonal transmission.