Why do such a thing?
How would you power such lasers? How would you maintain them? Even if you could do such a thing why would you want to?
As proof that humans have been to the moon, that is already established- we have a laser reflector that we can get a return off of any time- it was placed there by humans.... that simple fact hasnt shut up the conspiracy fools.... no evidence will convince them... they NEED to believe that they are special and that they know some hidden truth. Its easier than getting an education.
Lights on the moon wont convince the conspiracy fools....