Yes, the result depends on the specific application and review schedule. The National Natural Science Foundation and the Ministry of Education Fund are two different research funding institutions, which support different research fields and projects respectively. You can apply for funding from these two funds at the same time, but you need to abide by their respective application regulations and procedures. As for which foundation produces results first, it depends on the specific application and evaluation progress. Each foundation has its own evaluation process and timetable, which will change with the specific situation of each year.