The North London side gave the teenager a chance to impress after his display in the Europa League in midweek.
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While Moore was not at his very best, Postecoglou did see a few reasons to be optimistic about the future.
He told reporters: Like I said it wasn't really a great game for anybody out there from our perspective.
“Mikey every time he's out there he'll be a better player and the more we can get him out there in the right sort of environment then he'll keep thriving. I'm sure he'll learn a lot today.
“The kind of team we want to be or the way we want to play we need to be a lot more composed in the way we deal with certain things out there to not let the game get out of control.”