(AP) — Illinois has its belated state budget, but the state Capitol's next flashpoint in the political struggle over finances is about how to fund public education with just weeks before the first day of school. The spending plan lawmakers enacted this month over Republican Gov. Bruce Rauner's vetoes includes a $350 million boost for education. [...] it also included a provision aimed at forcing Rauner's approval of an altered funding formula that he contends unfairly pushes extra money to the nation's third-largest school district in Chicago. Rauner has suggested he will veto that newly devised school funding method, which could leave the state with no plan to allocate general state education aid and jeopardize schools' opening. Moody's Investors Service noted in a Friday warning about the state's ability to pay its debts that opening day for impoverished school districts dependent on state aid could be delayed by the legislative maneuver. The "evidence-based" model would ensure none of the state's 850 school districts receives less than it got this year, then would steer money to schools based on local property wealth and distinct student-population needs. [...] Rauner objects to specific state-funding allowances for Chicago schools on top of a new requirement that the state pick up the employer's portion of teacher pensions costs for them — the way it does for every other Illinois district.