Final answer:
The Anti-Federalists objected to the power of the federal government and the absence of a bill of rights in the Constitution. This led to the addition of a Bill of Rights, which addressed their concerns and strengthened the new government's legitimacy.
Step-by-step explanation:
Anti-Federalists objected to the power the Constitution gave the federal government and the absence of a bill of rights to protect individual liberties. The Federalists countered by promising to add a bill of rights to the Constitution. This compromise led to the addition of a Bill of Rights, which softened the Anti-Federalists' opposition and gave the new federal government greater legitimacy.