Answer:
It was more of the Greeks who influenced Rome's religion.
Step-by-step explanation:
The Etruscans influenced Roman engineering with the arch and the cuniculus which was used in fountains. They also influenced their sporting events with the ideas of chariot racing and gladiator battles.
Greeks influenced them in other ways, such as:
Architecture- stadiums ( improved by Romans with concrete ); columns ( corinthians ); pediments and friezes
Religion- the Roman gods were extremely similar and some even say that they were based on Greek gods but there is no hard proof. \
Art- the extremely lifelike style of the statues.
Writing- the Romans sometimes used Greco-Roman writing.