At the time, the signals from the moon were received "live" at stations on three continents on earth: -
two in Australia (the Honeysuckle Creek Tracking Station near Canberra and the Parkes Radio Observatory); one at the Goldstone Deep Space Communications Complex in the Mojave Desert of California; and one at the Madrid Manned Flight Tracking Site in Spain.
Of course, these signals also could be received by other facilities on earth (e.g. Jodrell Bank or tracking stations in the USSR, among others.)
Since no such facility at the time reported that the signals were NOT coming from the moon or in space to or from the moon, it is reasonable to conclude that they
did come from the right place at the right time.
(i.e. If it did not happen as NASA showed "live", the USSR, at least, would have called "foul".)
The Lunar Laser Ranging experiment (
https://en.wikipedia.org/wiki/Lunar_Laser_Ranging_experiment#cite_note-Lunakhod_2-1) depends on several precisely placed retroreflectors planted on the Moon during the Apollo program (11, 14, and 15) and the two unmanned Soviet Lunokhod missions.
They are where they are supposed to be and are still used by astronomers precisely to determine the distance to the moon and how this is changing over time.