If there's an ultimate, external goal, it's not evolution anymore. It's just survival of the fittest.
Stuff happens all the time, and the stuff that manages to happen in increasing numbers happens more often and keeps on happening. That's why the first self-replicating molecules were such a huge success. Not because they were better, just because there were more of them. They didn't want to survive or live, they didn't even know what that was, they just did because, well, they self-replicated all the time. No one set any goal for them, they just happened.
Then after a while some of them replicated faster or with less resources than the others, and they happened to outlast them. Then others began replicating by taking shortcuts and just assimilating other replicators. It all just happened, because all the times it didn't happen weren't very noticeable.
Only a few centuries later they began to develop ways to evolve more efficiently, like sex and genes, but only because the ones that had those traits lasted longer. The reason creatures want to live these days is because all the ones that didn't died.
That's when it gets interesting and you get dinosaurs and cells and cyborgs and monkeys. Their goal in life is to survive as a species and as an individual, but this goal evolved along with them. No one set this goal, and this goal is not a law inherent in the universe or even in Life. It's a goal some things have set for themselves, because the ones that didn't died.
If you make the goal external, you don't have true evolution.
Whether some external force influences the creatures only matters if said force is from outside the universe itself, or is deliberately steering things. Otherwise you could say the evolution of mice has been severely tampered with by cats.
[Note: I don't know anything about the actual timespan, so the centuries mentioned could be anything]