Sum cell across multiple sheets depending on multiple criteria

[ExcelHelp79]

Please see the attached file. I have a summary tab that manually sums across all of the sheets and a range data tab that allows for the ranges of sheets and drop down menus. What I'm trying to accomplish is for each cell to sum the corresponding cell across all sheets that have the matching data. For example, we would like to pull the sum of all data fields for all Sundays where Butler and then Gionnico were supervising. I've tried a variety of SUMIFS and SUMPRODUCT statements but can only seem to get them to work on one of the criteria. Please help!