This is not even Abaqus keyword (it should be *DAMAGE INITIATION, CRITERION=HASHIN/TSAIWU or *FAIL STRESS) but CalculiX doesn’t support those criteria anyway. Here’s a full list of the keywords supported by CalculiX: https://www.dhondt.de/ccx_2.22.pdf#page.6
Since there are no such failure criteria in PrePoMax and CalculiX, you could try computing them in postprocessing with the new Create Field Output → Equation tool or in ParaView.
in addition, CalculiX composite shell may not good in several conditions, and it could be useful to have button menus to convert to solid element. Each layer is separated parts and coincident nodes connected by equal displacement constraint to avoid averaging in stress results.