The moon was created far before life formed - the best estimates put its formation about 4.5 billion years ago, while life didn't form until 3.7 billion years ago. So any complex molecules from that process would not be present on asteroids of lunar origin.

A better way to put it might be that current lineages of life on Earth arose after the moon was created - the assumption being any life that arose before the moon was created would not have survived a fully molten Earth.

For a really brilliant visualization of the time scale, I can't recommend this Kurzgesagt video highly enough. It's an animation of the condition of the entire history of the Earth, at 1.5 million years per second of video. https://www.youtube.com/watch?v=S7TUe5w6RHo

>> The moon was created far before life formed

not in the panspermia theory