To keep your dinosaur buddy unconscious, like any true friend would, you need to put either Narcoberries or Narcotic in their inventory. Clicking “Remote Use Item” for these will increase the creature’s Torpor and keep them knocked out. These must be manually fed to them, as the animal won’t eat these on their own. If you’re short on drugs, bonking it on the head or hitting it with a tranquilizer can increase Torpor, but will lower the Taming bar and could kill the creature. Also keep in mind that Stimberries will decrease Torpor and make them wake up sooner.
Continue feeding and drugging the animal, watching over it as it awkwardly munches on food in a half-conscious state. This could require a large stock of consumables, and will take longer and demand more supplies the higher the animal’s level. Keep at it, and eventually the Taming bar will fill completely, awarding you with a new dino buddy to be used as defense, companionship, or as a living storage container.
Gigantopithecus, Mesopithecus, Onyc (bats), Ichthyosaurus, and Araneo (spiders) can be tamed nonviolently. To do this, equip their preferred food in your right-most hotbar slot. Approach your target with the food selected, and you’ll receive a prompt to feed them. Keep satisfying their hunger until they are fully tamed. You’ll also have to avoid touching these animals, and make sure they don’t get distracted by nearby prey.
Apply Bug Repellent before attempting to tame any Onyc or Araneo, or else they’ll ignore your food offerings and instead attack you incessantly.
Now you’re ready to get out their and tame to your heart’s content.
