The most common and most likely answer to this crossword clue is the 4 plus 4 letter word FOIS GRAS
I've seen this crossword clue in Financial Times
F
O
I
S
G
R
A
S
Buddy explains!
The straight part
We know that "This goes into tasty paté" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case this goes into tasty paté = fois gras.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.