Hi Kevin, I feed my splits sugar water in a frame feeder until they stop using it. Sometimes that is two or more gallons a week since the majority of bees are house bees and not field bees. I also put a small, about 1x2, piece of pollen supplement on the top bars right over the brood and the new queen.
It takes time for the brood to emerge and start drawing wax. If I think the split needs a bit of help, I will add a frame of capped brood that is ready to emerge and shake in more house bees from another colony. Drawing comb takes lots of energy and bees so that is why I feed sugar water until they stop using it.