[en] Recently, a reversible and a giant rotating magnetocaloric effect has been pointed out in the multiferroic TbMn${}_2$O${}_5$ single crystal, opening the way for new designs of low-temperature magnetic cooling. In this paper, we report a preliminary theoretical work with the aim of enlarging our understanding on the electronic, magnetic and accordingly magnetocaloric features of the TbMn${}_2$O${}_5$ compound. Particularly, the TbMn${}_2$O${}_5$ magnetic anisotropy is analyzed in terms of X-ray magnetic circular dichroism (XMCD) and X-ray absorption spectroscopy (XAS) spectra.