(without having checked what Kane — or possibly David — says thereabout) I made this conjecture on the sole basis of Burnell's statement (
"And in Malabar, Cochin and Travancore this [= the fact that "even among South Indian Brahmans numberless usual practices are opposed to the Sanskrit law"] is so much the case, that
a small manual called the Anācāranirṇaya has been composed to enumerate them — fn: This
tract is
attributed to Çaṅkara of course (...)"
Since no Kerala manuscript appears to bear this title.
Now in checking dharma texts entitled ācāraḥ, ācārasaṅgrahaḥ, keralācārasaṅgrahaḥ, found in catalogues, I came across a short tract entitled Ācāranirṇaya or Keralācāranirṇaya ascribed to Śaṅkarācarya (several MSS. in the KUML, apparently described in the Descr. Cat. Curator's Office Library as the no. 371B, i.e. in vol. 2 1938, unfortunately not at hand) which must correspond to Burnell's reference and deserves to be more closely regarding the Kerala… anācāras.
Best wishes,
C
PS: correct the typo in my very first post (already giving the references usefully repeated by Parpola and Olivelle): "the Laghudharmaprakāśikā attributed to one Śaṅkara [not Śāṅkara], also known as Śāṅkarasmṛti."