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