Magnetic shape memory (MSM) alloys are drawing significant attention in the scientific community due to their attractive physics and technological relevance, particularly in actuators. Among these alloys, Ni₂MnGa has been studied extensively due to its remarkable capability to exhibit substantial magnetic field-induced strains (MFIS) of approximately 10%. The movement of the twin boundary can play an important role in controlling the MFIS effect. Our present research is devoted to understanding the migration mechanism of twin boundaries among the layers at the nanoscale level (nanotwin boundaries) within the martensite phase of Ni₂MnGa using first-principles calculations. Focusing on the essence of energy barriers during the migration of nanotwin irrespective of modulation nature, we will present deviation from the tetragonal building block resulting in higher energy barriers whereas the migration paths with continuous 2-layer structures notably reduce energy barriers.