Final answer:
The term for migrating groups who domesticated animals and influenced cultural diffusion is 'Pastoralists', vital contributors to the Neolithic Revolution.
Step-by-step explanation:
The term that describes migrating groups who domesticated animals for food, shelter, and clothing and played a significant role in spreading language, goods, and technology is Pastoralists. These societies, such as the ancient Maasai, shaped the course of human development by transitioning from a hunter-gatherer lifestyle to one that relied significantly on the domestication of animals. As nomads, they moved following their livestock to fresh pastures, which enabled them to create surpluses that could be traded with neighboring groups. The domestication of animals and plants, an integral part of the Neolithic Revolution, was not universally adopted but it significantly influenced demographic patterns, settling of communities, and cultural diffusion across wide areas.