All you need is to get one Genome all the way to 100 percent.
Very early in the game you will receive the ability to send expeditions to retrieve fossils.
Once you get that in order to knock this achievement fast you can send expeditions to dig sites that only have one class of dinosaur fossils. (you can probably do Triceratops since i got a few early missions to improve the genome for that specific dinosaur) .
Expeditions sent to dig sites with only one type of dinosaur will bring back fossils of only that species so you can improve the genome a lot faster. Once it reaches 100% it will pop the achievement.