Help with formula to pull multiple criterian from one sheet to an organized list

I hope this title is non-infraction worthy...
In the attached example I used the following formula to pull the required data from 'Sheet2' to the corresponding column on the sheet labeled 'SKU Lookup':

{=IF(ROWS($A$2:$A2)>COUNTIF(Sheet2!$A$1:$A$375,$A$2),"",INDEX(Sheet2!D$2:D$375,SMALL(IF(Sheet2!$A$2:$A$375=$A$2,ROW(Sheet2!$A$2:$A$375)-ROW(Sheet2!$A$2)+1),ROWS($A$1:$A1))))}

Is there a similar formula that will pull the data from 'Sheet2' if I enter the necessary search info (as seen on the tab labeled 'Everything')? I know I'm doing a bad job of explaining what I need and I apologize since I'm pretty new to Excel. I think if you take a look at the attached examply you will understand what I'm getting at...

Any and all help is greatly appreciated!

Everything Lookup.xlsx

See attached for a possible solution.

I added a helper column in Sheet2, column J

In J2, add formula:

=IF(AND(OR(EVERYTHING!$A$2=A2,EVERYTHING!$A$2=""),OR(EVERYTHING!$A$5=C2,EVERYTHING!$A$5=""),OR(EVERYTHING!$A$11=D2,EVERYTHING!$A$11=""),OR(EVERYTHING!$A$8=E2,EVERYTHING!$A$8=""),OR(EVERYTHING!$A$14=G2,EVERYTHING!$A$14=""),OR(EVERYTHING!$A$17=H2,EVERYTHING!$A$17="")),MAX($I$1:I1)+1,0)

and copy down.

in Sheet 'EVERYTHING', A20 add formula:

=IF(A2&A5&A8&A11&A14&A17="",0,MAX(Sheet2!I:I))

Then in C2 add formula:

=IF(ROWS($A$2:$A2)>$A$20,"",INDEX(Sheet2!D$2:D$375,MATCH(ROWS($A$2:$A2),Sheet2!$I$2:$I$375,0)))

and copy down.

Use similar formula in D2:J2 and adjust the INDEX range to suit...

Then copy all down.

You can hide A20 by making font colour white.

You can hide column J on Sheet2 if desired.

You should be able to make any entries in the input boxes and matches should come up.. even if you leave some inputs blank.