Kool aid is merely flavored egg dye. Both need a good mordant of acid (vinegar). You can do this in two ways, either add the vinegar with the dye or pre-mordant your wool by soaking it in water with vinegar added.
Sounds like the dye 'broke', i.e. separated out its colors. Some colors 'bite' more quickly than other colors.
Was your wool thoroughly wet before adding it to the dye pot? I like soaking my wool in a bath of water and vinegar for a good 30 minutes. Drain the water from the wool, then add to the dye pot.
For the price, kool aid and other powdered drink mixes seem like a great deal price wise, but in the long run acid dyes, like Jacquard, are a better value.