In the article, "The Moon Landings Were Faked," for TIME Magazine's conspiracy theory miniseries, the theory claims that the 1969 U.S. moon landing was a staged production in order to beat the Russians in the space race. The article goes on to further explain points of the conspiracy, such as the "wind" that catches the flag, and that it was directed by Stanley Kubrick.
The article isn't necessarily arguing these points, but rather illustrating the main points of the conspiracy, as it is part of a series of articles like these. As this is a conspiracy theory, there is no real basis/source for any of the claims given, even in the article. Many of the beats TIME touches on, such as the wind blowing the flag are debunked in articles like this one from NASA archives, which goes on to say, "They designed a flagpole with a horizontal bar allowing the flag to "fly" without the benefit of wind to overcome the effects of the moon's lack of an atmosphere." Another resource comes from the Institute of Physics, which explains the multiple different types of evidence we have that the moon landing happened. In terms of hard evidence, there is plenty of proof that the moon landing was not faked. "[T]here are 8,400 publicly available photos, thousands of hours of video footage, a mountain of scientific data, and full transcripts and audio recordings of all air-to-ground conversations."