Question

What items can the lost-and-found man in Anville Town give you, and is there a pattern?

Answer 1

From Bulbapedia

An employee of the Battle Subway lives in the house in the south east, initially giving the player a Rare Candy he had found the first time he is spoken to. After seven consecutive battles on the Battle Subway, he will give a number of vitamins, Max Revives, or Max Elixirs for each set of seven battles won at the Battle Subway that day, capping at ten per day.

Comments

He meant the ones IN anville town not the ones in the subway.

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no, he's saying that for every 7 win streak you get on the subway, you get whatever item from the guy in anville town