Empties a package of snacks (4,4)

I believe the answer is:

meat pies

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'snacks' is the definition.
The definition and answer can be both things that one consumes for nourishment as well as being plural nouns.
Perhaps they are linked in a way I don't understand?

'empties a package' is the wordplay.
'empties a' anagrams to 'MEAT PIES'.
However, I'm not sure how the anagram is indicated.

'of' acts as a link.

Can you help me to learn more?

I've seen this clue in the Sydney Morning Herald.

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