Please note that Mommsen uses the AUC chronology (Ab Urbe Condita), i.e. from the founding of the City of Rome. You can use this reference table to have the B.C. dates
The effect was only too rapidly and fearfully apparent. A few years
later (568) rites of the most abominable character came to the
knowledge of the Roman authorities; a secret nocturnal festival in
honour of the god Bacchus had been first introduced into Etruria
through a Greek priest, and, spreading like a cancer, had rapidly
reached Rome and propagated itself over all Italy, everywhere
corrupting families and giving rise to the most heinous crimes,
unparalleled unchastity, falsifying of testaments, and murdering by
poison.
More than 7000 men were sentenced to punishment, most of them
to death, on this account, and rigorous enactments were issued as to
the future; yet they did not succeed in repressing the ongoings, and
six years later (574) the magistrate to whom the matter fell
complained that 3000 men more had been condemned and still there
appeared no end of the evil.