How does monetary intermediation differ from finaicial intermediation?

Answer 1

the goal of monetary intermediation is to alter interest rates
the goal of financial intermediation is to alter government expenditure

Answer 2

They differ in their approaches to achieving economic goals. Monetary policy focuses primarily on adjusting the money supply, influencing interest rates, and adjusting governmental spending.
Fiscal policy focuses primarily on adjusting the level of taxation.

Historically, both have proven themselves capable of achieving the same goals, but they are used in combination with each other to enhance things.

This is why the Fed controls monetary policy and Congress controls fiscal policy. So they can be both independent in decision-making, but also work together to achieve a common goal--growing the economy.