The main link between local authorities and central government in England is the Ministry of Housing, Communities and Local Government. It is responsible for national policy on how local government is set up, what it does, how well it works, and how it is funded.
Some other central government organisations:
You can find out more about each at the gov.uk list of departments, agencies and public bodies.
The public elects MPs to represent their interests and concerns in the House of Commons. MPs are involved in considering and proposing new laws, and can use their position to ask government ministers questions about current issues.