This is 2 ways to gather eggs efficiently.

1) You need a tribe mate to help with this one and 2 fliers. I would use some decent argy’s with stamina and health. Your tribe mate will fly over the nest low to the floor and agro the deinonychus and fly away slowly. They will keep the agro and leave the nest but try not to get hit their bleed does 10% of your health. Once clear you will fly down grab the eggs and fly away while informing your tribe mate that they can loose agro.

2) This one is a bit more difficult but it’s good for when you’re solo. You need a good flier who can carry a tanky dino. For the flier I would use an argy and the tank would be an anky. You fly over the nest and gather the agro and then fly away while carrying your tank. You lead the deinonychus away and drop the tank so they start eating it. You then quickly fly back to the nest to get the egg and fly away. If your tank is still alive you can try pick it up but be careful if your hot they do 10% of your health. Your tank should have some decent health to give you time as when it dies the deinonychus will return to the nest to kill you in short time.

Hope this helps you guys get some eggs :)