The contribution of this study is to research how the initial stress and the application of a magnetic field affects the two-dimensional complication of a general, two temperature, and thermally activated viscoelastic material in five theories. In the physical domain, normal mode analysis is employed to obtain the analytical expressions for the physical quantities. A numerical pathway is chosen to calculate the analytical expressions and their explanation is done using various graphical methods. The results predicted by different theories (L-S, G-L, G-N II, and DPL) are also examined in both the scenarios, that is, existence and nonexistence of a magnetic field, viscosity, initial stress, and two temperatures.