If you receive a gift of equity, that gift is not taxable and you do not have to report it in your tax return.
The donor(s) will have to file a gift tax return (form 709) if the gift from each person exceeds $14,000.
You may find this article useful:
https://www.mtgprofessor.com/A%20-%20Down%20Payment/how_can_i_take_advantage_of_an_equity_gift.htm