I've researched Space science but not getting any way of using these drops. Checked with FNEI as well.

Did you send a satellite in a rocket? I just did a quick test in cheat mode and it worked for me. Didn't test it yet in normal play-through, as I'm not so far down in tech-tree, yet.

I tested in my normal game now and as soon as I send the rocket up with a satellite, the recipe for space science is available and I can craft it in an assembler with the artifacts.

Maybe you have some other mod active interfering with my mod?

This is probably not the case with expansion. I do not believe there is a satellite available in the Space Age.

Nope, not compatible with space-age i guess. Also compatibility is not planned so far.

That's fair, did not see that it was not compatible with Space Age.