In this critique, twin proper neutrosophic fuzzy graphs and totally twin proper neutrosophic fuzzy graphs are portrayed. Collasion of these two graphs were given through exemplifications. Provided is the unavoidable circumstance under which these two graphs were coequal. The characterisation of twin correct neutrosophic fuzzy graphs with a cycle as the underlying crisp graph is studied. The applicability of the results to fully twin accurate neutrosophic fuzzy graphs is also explored.