Final answer:
The statement that Hindus offer food sacrifices to gods at home and temple shrines is true. The practice, a part of Hindu rituals, typically involves vegetarian offerings, which are later consumed as blessed food by worshippers.
Step-by-step explanation:
Devotional Hindus do offer food to the gods as a form of worship and this practice is referred to as 'naivedya' or 'bhog' within Hindu ritualistic tradition. Contrary to the mention of large-scale public animal sacrifices, which were more characteristic of ancient civilizations like the Aztecs or practices outside the Hindu temples described in the reference information, the offering of food in Hinduism is typically a vegetarian affair and can be quite personal and domestic. Such offerings are made both at home shrines and in temples. The food is offered to deities with devotion as part of puja ceremonies and is later consumed by worshippers as 'prasad', believing it to be blessed by the gods.
Going by the information provided and the common practices in Hinduism, the originally posed statement that "Devotional Hindus offer food sacrifices to the gods at home and temple shrines" is A. True.