Final answer:
The main characteristic that distinguishes eubacteria from archaebacteria is the composition of their cell walls. Eubacteria contain peptidoglycan in their cell walls, while archaebacteria do not. This difference is one of the main criteria used to categorize and differentiate between these two groups of prokaryotes.
Step-by-step explanation:
Bacteria and Archaea are both types of prokaryotic organisms that have some similarities but also some differences. One of the main characteristics that distinguishes eubacteria (also known as bacteria) from archaebacteria (also known as Archaea) is the composition of their cell walls. Eubacteria contain peptidoglycan in their cell walls, while archaebacteria do not have peptidoglycan in their cell walls. This difference in cell wall composition is one of the main criteria used to categorize and differentiate between these two groups of prokaryotes.