President Warren G. Harding brought about the enactment of the Budget and Accounting Act of 1921, which, for the first time, required the President to submit a budget annually to Congress and which established the Bureau of the Budget, the forerunner of the Office of Management and Budget, to assist in the formulation of the budget. Initially the Bureau was within the U.S. Department of the Treasury, but in 1939 it was moved to the Executive Office of the President.
who has final authority over the federal budget
Office of Management and Budget