The billions of years old theory is correct. It is the lying creationist websites that you are reading that are incorrect. You are being lied to, and have insufficient knowledge to recognise the lies for what they are. That means you are copying those lies to us, and hence are swiftly losing your credibility.
Here is what Answers in Genesis says about moon dust:
Too Little Moon Dust
Only a thin layer of dust covers the moon’s surface. However, this does not prove a young age for the moon. Before the Apollo lunar missions, a few scientists had predicted that a yards-thick layer of dust should have settled on the moon over billions of years.
Those predictions got a lot of press, yet further satellite measurements of dust in space indicated a much smaller rate of accumulation than previously assumed. This does not mean the moon is billions of years old; modern scientists cannot know the rate of dust accumulation in the past or the amount of dust originally on the moon. Therefore moon dust cannot be used as an age indicator one way or the other.
Editor’s Note: During the 1960s and 1970s many creationists adopted the “moon dust” argument based on early calculations by some secular scientists, but more accurate information is now available.
Source:
Far Out Claims About Astronomy.
Early scientific estimates were incorrect. Later estimates were more accurate, and were in line with what was actually measured on the moon. The sites you use are obviously continuing to use this faulty argument, that even Answers in Genesis has rejected. That puts your site somewhere down among the Kent Hovind/Dr Dino level of zero scientific credibility.
Again, I repeat, you are being lied to and you are not sufficiently knowledgeable to recognise those lies for what they are. By repeating them you are doing yourself, and creationism, an injury.
rossum