Final answer:
The Government Accountability Office (GAO) and the U.S. House Oversight Committee are primary agents for reviewing the executive branch's adherence to congressional law intent and policy efficiency. Congress uses its oversight role to influence bureaucracy with funding control and appointment approvals, while the president's oversight includes appointments and the OMB's budgetary and regulatory roles.
Step-by-step explanation:
The Government Accountability Office (GAO) reviews the activities of the executive branch to ensure it is following the congressional intent of laws, and investigates the efficiency and effectiveness of policy implementation. Congress conducts oversight of the federal bureaucracy through the power to control funding and approve presidential appointments, with committees in both chambers holding hearings to question leaders of various bureaucracies. Additionally, the U.S. House Oversight Committee plays a pivotal role by ensuring the efficiency, effectiveness, and accountability of the federal government and its agencies, acting as a congressional check on bureaucracy's power.
Apart from legislative oversight, the president also exercises oversight over federal bureaucracy through appointments and the Office of Management and Budget (OMB), which prepares the president's annual budget and oversees the actions of executive departments and agencies.