SUM all raw data by code IF main cell contains its code

[alija1]

Hello guys!

I have an issue - which is not classic partial SUMIFS problem - at least I do not I think it is.

I have a detailed raw-data expenditure sheet, with each transaction recorded per budget code.
I need to sum all expenditures in the budget template - but the catch is that some of the budget lines have multiple budget codes assigned.

The tables look something like this:

RAW data:
RAW_DATA.png

BUDGET:
BUDGET.png


Any thought on this?

Thank you very much <3