We use any more as a determiner to describe ‘an indefinite quantity of something’. Any more is similar to some more. Some more is more common in affirmative statements; any more is more common in questions, in clauses with if and in sentences with negative words such as hardly, never, scarcely:
Would you like any more tea?
If you find any more books, please let us know.
She doesn’t want any more contact with him.
There are hardly any more people here than last month.
Yes, I’d like some more information about trains to Berlin, please.