The research subject is the kinetic and irreversible non-equilibrium thermodynamics (INTD) behaviour of gaseous plasma (GP) flow limited by a moving rigid flat plate (RFP), its motion damping with time. The effects of non-stationary nonlinear applied electric field (NLAEF) were examined on the GP. To explore GP with the electron velocity distribution function (EVDF), researchers have concentrated on the Bhatnagar-Gross-Krook (BGK)–model of the kinetic Boltzmann equation (BE). An analytical solution was found using the moment method (MM), travelling wave, and shooting method. An interesting comparison between the non-equilibrium EVDF and the equilibrium EVDF is made carefully in the present and three previous critical studies. We discovered that the NLAEF has a significant impact on GP. Compared to the influence of the nonlinear applied magnetic field (NLAMF), it caused it to vary and disturb substantially. To save the equilibrium state (ES) for a GP, we need to apply NLAMF rather than NLAEF in the plasma controlling procedure. Moreover, we found that the oscillating boundaries keep ES rather than the moving boundaries in both NLAEF and NLAMF. We also found that the system goes to ES vastly in the case of NLAMF. The relations between the various variables that participated in internal energy modifications (IEM) are examined. The importance of this research stems from its wide applications in domains such as physics, electrical engineering, micro-electro-mechanical systems (MEMS), and nano-electro-mechanical systems (NEMS) technologies in industrial and commercial sectors.