Even the craters that are from objects that are big enough to also impact Earth would be smaller on Earth as some of the material from the object would burn up in Earth’s atmosphere, even if a portion of it reached the ground.

I mentioned craters getting “erased” as one reason we don’t have nearly as many visible craters on Earth. However, I stand by my contention that the smaller craters on the moon are from objects that would have burned up in Earth’s atmosphere. These objects smash unimpeded into the moon.

Most of the craters were made millions of years ago. The moon does not have the atmosphere that Earth has, so more objects will hit the surface of the moon than will hit the surface of the Earth. Earth’s atmosphere burns up most objects that enters it.

Also, the moon does not have the same systems as Earth has that erode surface features over time. On Earth, a crater might get filled with water, and sediment and vegetation might fill it over time. None of these things happen on the moon.