There is no lie, we did land on the moon. There is no basis to this conspiracy theory.
Suppose the US really did lie and the entire moon landing program was a hoax. How would we know that? Very simple, Russia would have brought it to the world’s attention.
Russia and the US were in a cold war. Russia had moles and spies in NASA who would have known it was a hoax. Russia would have been the first to highlight that fact. And their silence says a lot.
Yes, we landed on the moon, and there is no conspiracy at all.