SUNFJacobi is an option for SUNSimplify, indicating whether the Jacobi identity should be used.
SUNFJacobi
SUNSimplify
Overview, SUNF, SUNSimplify.
SUNF[a, b, c] SUNF[e, f, c] // SUNSimplify[#, SUNFJacobi -> False] &
fceffabcf^{cef} f^{abc}fceffabc
SUNF[a, b, c] SUNF[e, f, c] // SUNSimplify[#, SUNFJacobi -> True] &
fbcfface−facffbcef^{bcf} f^{ace}-f^{acf} f^{bce}fbcfface−facffbce