I think it's important to keep in mind that this series has two of the same three creators as the original series. That was Sagan, Druyan, and Soter; this is Tyson, Druyan, and Soter. People who don't know that may believe this is unconnected to the original, a mere imitation. Knowing that it has 2/3 of the original creative team working on it makes it clear that it's more of a direct continuation. And that brings a very different understanding of just what this series is and how it relates to its forebear.
They should put this text up on the screen at the beginning of each episode.
They just need to be sure they credit it to you properly.