I answered the same "That is a large coffee cup"
"That is a large cup of coffee" would be "He kīʻaha nui o kope kēia" I think......
Having been caught by something similar in the past, I changed "A large cup of coffee" to "A large coffee cup," then got told my first answer was another correct one. But the English is different. A coffee cup can be empty, a cup of coffee cannot.
I agree that "He kī‘aha nui o hope kēiā" translates to "That is a large cup of coffee"
That is a word for word translation but different languages don't always map into each other on a word for word basis.
The adjectives have an order? or it could be: "He kīʻaha nui kope kēlā"?