My first thought when I read this was to wonder if this meteorite could be from the Moon, rather than from Earth. It would be much easier for an asteroid strike on the Moon to send a chunk of the Moon to Earth than vice versa. But, then I read near the end that a meteorite that is believed to be from Earth was found on the Moon by NASA astronauts.
However, that seems to be a major stretch. The link in the article says about the bit of Earth found on the Moon:
". . . a 0.08-ounce (2 grams) fragment composed of quartz, feldspar and zircon, all of which are rare on the moon but common here on Earth. Chemical analyses indicated that the fragment crystallized in an oxidized environment, at temperatures consistent with those found in the near subsurface of the early Earth . . ."
"The available evidence suggests that the fragment crystallized 4.1 billion to 4 billion years ago about 12 miles (20 kilometers) beneath Earth's surface, then was launched into space by a powerful impact shortly thereafter.
"The voyaging Earth rock soon made its way to the moon, which was then about three times closer to our planet than it is today. The fragment endured further trauma on the lunar surface. It was partially melted, and probably buried, by an impact about 3.9 billion years ago, then excavated by yet another impact 26 million years ago, the researchers said."
Or, maybe we don't know that much about the Moon to begin with. If something unexpected was found in the small amount of lunar material the Apollo astronauts brought back, it is hard to claim that it is really "rare" on the Moon. And, to have it undergo a history of being disturbed by 3 impacts seems to imply that there should be a lot more of the same thing on the Moon, both scattered on its surface and buried well under the surface.
So, back to the meteorite found in the Sahara that is thought to be from Earth, could that be a piece of the Moon that is similar to the piece of moon that is thought to be from the Earth? It seems like a piece of the Moon floating to Earth over a few thousand years after a large impact on the Moon would be much more likely, considering we have no visible impact crater on Earth that fits the calculated parameters to launch this rock from Earth, while the Moon is full of undated craters.