Combine SUM, INDEX and MATCH

Hello.
I got some 10000 rows, and if I use SUMIFS the file will hang.
I'm therefore trying to combine SUM, INDEX and MATCH to sum some rows based upon two criteria's. I've added a demo file.
What I want to do is to sum the corresponding rows based upon two criteria's and return the sum next to one of the criteria's. If you look at my file, you'll understand what I think.

I've tried every demo I've found online, but I'm only receiving #NA or #value, so I don't know what I'm doing wrong.

Can anyone please help me?