External aid can't, but external investment can. The greatest reduction in extreme poverty in human history happened in China starting in the second half of last century continuing to the present. It was a result of the West building factories and outsourcing labor there.

Unfortunately a prerequisite for foreign investment is political stability. Nobody is going to build a factory in a war zone, which is why Sudan Somalia and Ethiopia look the way they do.

It's a delicate situation and I don't think anyone really knows the best way to help.