You DO need to put your father’s financial income on your QB application before submitting it. Also, do you have a step father or step mother? If so, their income will need to be included on your application as well. OP, can you cite where it says ONLY your mother’s income (custodial parent) will be considered initially to determine finalist status? I skimmed the QB website and didn’t see where it said that.
FWIW, I am familiar with QB, my kid was a Match recipient. There is only one parent, myself so I didn’t have to fill out the non custodial section, but that being said I have never heard what you said about only your mom’s income being considered initially. I only raise this question as it would be a waste of time to apply through QB if your father’s income would be considered along with any step parents.