How to style Ordered list and Unordered list both differently inside Rich text field?

You can style elements inside of a Rich Text Block by giving the RTB a class. Then select a child element. Then in the design panel, select "All (whatever element you selected) and a new sub option will be displayed allowing you to choose all (elements) when nested inside (class of RTB).

Look at the documentation for the Rich Text Block and styling elements in the University (always the best place to check first).