If she doesn't eat all of it, then back it down to one (1) 2qt feed scoop of shredded beet pulp.
If you can't get shreds and only have access to pellets, then reduce it to 1 scoop or 1/2 scoop. It's more densely packed, so it will expand more when you soak it. You also need to soak it for 45-60 minutes to get full expansion, or longer if the water is really cold.
That said, you do not NEED to soak beet pulp. As long as your horse doesn't bolt her feed down, feeding it dry is fine. Just make sure she has access to plenty of water.
I would also add a fat source like corn oil or whole flax seeds (both affordable). You can feed up to 2 cups of oil, though 1 cup works well. Start with just 1/4 cup though and work your way up, as some horses don't like oily feed. Feed 1-2 cups of whole flax. Your feed store should be able to order you 50 lb sacks of flax if they don't already carry it.