We don't normally drink anything with a spoon. Drinking means putting liquid direct from a cup or a bowl or a bottle straight into the mouth, without the use of any other implements.
We drink coffee from a mug.
We drink wine from a wine glass.
Babies drink milk from a bottle.
I drink tea from a china cup.
Cutlery is used for eating.
We eat soup with a spoon.
We eat baked beans on toast with a knife and fork.
Millions of people eat noodles with chopsticks.
I eat rice pudding with a spoon.