Two major motions of Earth are rotation and revolution.
Explanation:
The geocentric model of the Earth was the older accepted model of the Universe according to which the Earth was at the center of the universe.
It is hard to justify the two major motions of earth using this theory as it is objectively disproved and both the motions were found out and formulated much after this theory was disproved.
There is no conceivable way to use this theory to justify the two motions as in rotation earth moves around its own axis and in revolution it revolves around the sun.