In many different places in Chabad Chassidus (for example, briefly in Hayom Yom, 2 Teves; more extensively in Maamar Tanu Rabbanan 5738, Likkutei Sichos, vol. 3, p. 815, et al) it's explained that the Greeks had no objection to Torah and to mitzvos per se; there is after all a lot of it that is attractive to the cultured Hellenistic mind. But they demanded that Torah be studied just as another human creation, not as G-d's wisdom; and that only the rational mitzvos (mishpatim and eidos) be kept, because they appeal to the human mind, not because they are G-d's will.
So we stress that they tried to get us "to forget Your Torah, and to transgress the laws (chukim means the ones that we don't understand, such as shaatnez) of Your will."