This question has me stumped as well. Do you mean what animals are live bearers and what animals lay eggs?
Animals that lay eggs are called Oviparuos, here is the Wiki:
"Oviparous animals are animals that lay eggs, with little or no other development within the mother. The study or collecting of eggs, particularly bird eggs, is called oology.
Reptile eggs, bird eggs, and monotreme eggs, which are laid out of water, are surrounded by a protective shell, either flexible or inflexible. The special membranes that support these eggs are traits of all amniotes, including mammals."
|Includes CC-BY-SA content from Wikipedia's Egg_(biology) article (authors)|
Animals that give birth to their babies are called Viviparuos, here is the Wiki:
"A viviparous animal is an animal employing vivipary: the embryo develops inside the body of the mother, as opposed to outside in an egg (ovipary). The mother then gives live birth. The less developed form of vivipary is called ovoviviparity, which, for instance, occurs in most vipers. The more developed form of vivipary is called placental viviparity; placental mammals are the best example, but other animals have also adapted by incorporating this behavior, such as in scorpions, some sharks, some snakes, and in velvet worms. Certain lizards also employ this method such as the genera Tiliqua and Corucia. The placenta is attached directly to the mother in these lizards which is called viviparous matrotrophy. Viviparous offspring live independently and require an external food supply from birth."
|Includes CC-BY-SA content from Wikipedia's Vivipary article (authors)|