। ॥ ५६४ ॥
In plain words
Because the matter stands thus, the identification of ignorance with the Self is indeed a sound conclusion; yet the followers of Kumārila Bhaṭṭa raise objections to this determination using their own logic.
Close to the Sanskrit
Since it is thus, therefore the state of ignorance being the Self is indeed appropriate, [as] a certain [conclusion] thus; the Bhaṭṭas criticize that certainty with their own logical arguments.