Sum Sumifs or sumproduct using multiple criteria with matching months

I use a sum(sumifs function to match several criteria to determine the % of a specific products volume is on each pc of equipment. I now need to add another criteria to match the month but don't know how to do it. I've tried simply adding the "monthly criteria (show in attachment) and have also tried using a SUMPRODUCT formula but still can't figure it out.

Any suggestions?

I probably would have used a match and offset (check them out) but continuing with your theme:
=SUMPRODUCT($E$7:$P$18*($E$6:$P$6=U$6)*($B$7:$B$18=$R7)*($C$7:$C$18=$S7)*($D$7:$D$18=$T7))/SUMPRODUCT($E$7:$P$18*($E$6:$P$6=U$6)*(($B$7:$B$18="B")+($B$7:$B$18="G")+($B$7:$B$18="E"))*($C$7:$C$18=$S7)*($D$7:$D$18=$T7))

Adjust as necessary.

Please try at U21:AF27

Formula:

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=FIND($R21,{"AG","BDE","CF"}) = {#VALUE!,1,#VALUE!} this give 1 or 2 or 3 depend on R21 and #VALUE!,

For R25
=FIND("E",{"AG","BDE","CF"}) = {#VALUE!,3,#VALUE!}
no "E" in "AG" =#VALUE!, "E" at 3rd position of "BDE" =3, again no "E" in "CF" =#VALUE!

=Match(9, INDEX({#VALUE!,3,#VALUE!},)) =2 Give position of the last number that less or equal to 9 any number more than 3 will work.
Index just for avoid pressing Ctrl+Alt+Enter

=CHOOSE(2,{"A","G"},{"B","D","E"},{"C","F"}) ={"B","D","E"} return 2nd set of value or array.