The shortfall for students with the highest needs will grow to $450 million, the complaint says.
The split decision says the Legislature has the prerogative to determine how much to spend.
Three reports cite a lack of transparency in local accountability plans.
Without more transparency, districts can play shell game with money, law firm charges.
Robles-Wong and Campaign for Quality Education plaintiffs take their case to appeals court.
A judge initially dismissed the grounds for the two companion cases in 2011.
Hundreds of millions of dollars are at issue in the spending dispute.
Dozens and possibly hundreds of the state’s charter schools have adopted policies that illegally require parents to volunteer, the nonprofit law firm Public Advocates charged in its report, “Charging For Access,” issued on Thursday.