The characteristics of nonlinear electrostatic electron plasma wave modulation are investigated in collisionless plasmas in the context of the Cairns and Kappa (generalized Lorentzian distribution with spectral index κ) nonthermal electron distribution, with particular attention to the nonlinear Landau damping process with resonance effect at the group velocity of the modulated wave. A modified nonlinear Schrödinger equation (mNLSE) with a nonlocal nonlinear Landau damping term governs the dynamics of the wave modulations. The results predict a far equilibrium region () where the Kappa distributed electrons lead to new dispersive corrections, an overall reduction of the carrier wave frequency () and the phase velocity and the existence of parameter regions where . On the contrary, the results in the near equilibrium region () are qualitatively similar to that of Cairns distributed electrons. The carrier waves always become damped by transferring energy to the side band waves due to nonlinear Landau damping and nonthermal particles enhance the energy transfer rate. The mNLSE is simulated extensively by a 2nd order split-step Fourier method with various initial pulses in different parameter regions.