The federal government has very little authority over individual home health care businesses. There is no federal or national license authority.
The exception is Medicare certification. Medicare will certify agencies that meet federal qualifications, for the purpose of allowing these agencies to receive payments from Medicare for what is called the Medicare home health benefit. Medicare certification provides some assurance that an agency has met certain standards of performance and quality.
The states are responsible.
Almost every state -usually the state department of health-- has a license and regulating process for Home Health Care. Both agencies and individual workers might need authority from your state government.
Agencies providing skilled nursing and other health care services almost always require state licensing. Agencies which provide only personal assistance or homemaker services are registered or licensed in some states, while in others there is almost no oversight at all.
RN's -Registered Nurses-usually have to have certain education and schooling, and pass tests to qualify for a state license.
Complaints and Problems
Health Departments, and sometimes Aging Departments in each state usually have a process for recording and dealing with complaints about Home Health agencies or workers. In some states, the Attorney General's department will also be involved.