It is perfectly good grammar and easy to understand. As a matter of prose style, people might have different opinions about whether or not it is the best style. I don't quite understand the sentence as written and think there may be some other problems with it--I'd like to know the context. Without going into that, I would say that the sentence as you have written it is perfectly correct, but that personally i would probably choose to shorten it to: "The eventual fates can be predicted by tracing of the lineage, which is the crucial foundation and of the highest scientific importance." Again I don't understand the sentence but I wonder if the first part shouldn't be "Their eventual fate can be predicted by tracing their lineage..."

Thank you, Ruthi.

It's fine because you link them with the word "and".It sounds ok to me.