Deinonychus are your best bet here. If you already have two. Skip ahead. If you don’t read about how to get some.
To get your first two. Get a flyer and have your friend pick you up and bring you near to their nests. Then use a whip to grab the eggs while flying out of the wild ones reach. Make sure to grab 3-5 eggs to ensure you get a male. Then just raise them up using meat.
Once you have at least one male and female breed until you have a few more females. Any males you get can join your hunting pack. All the females Should join the kibble farm. You don’t need more than 8 females for the farm; don’t go overkill. Once they all are raised, make a sort of perch for your females out of a row ceilings one wall off the ground with a ramp leading up to it. Put all your females on this perch, with their butts sticking off the back. Make sure they all are on breeding. Put the worst male at the bottom, then wait. Make sure to pick up the eggs for Kibble.
Instead of trying to remember all the different egg sizes and what they make or combing through your fridges while looking at the app, just read the egg description. It says provides simple nutrition, regular nutrition, exceptional nutrition etc. Which corrosponds with regular kibble, exceptional kibble and so forth.
•Tame up a bunch of low level female yutyrannus (I currently have 12).
•Tame at least one low level male yutyrannus for the mate boost (which also increases egg production).
•Tame a low level oviraptor for the egg boost (The oviraptor must be set to wander for the boost to work. You can weigh it down with stone or something so that it doesn't move and you still get the boost).
•Put the yuts around the oviraptor so that they all get the boost and are all mate boosted.
You should get a ton of eggs with this method. The yuts are fairly easy to tame. Just make sure you kill the carnos first so that they don't get in your way. I also like to use the yuts as extra storage for hide/keratin/anything so that I can get as much use out of them as possible.