The whole point is to stop poverty leading to poverty.
Hungry children = limited capacity for learning = limited prospects in adulthood
Basic needs met (including well fed) = greater capacity for learning = reduced risk of poverty in adulthood (+ their future children)
Obviously hunger is only 1 of many basic needs that needs to be met for successful learning but it's a start.
If more government policies were based on prevention rather than sticking plasters, we would be in a much better position as a country.