In this talk, I discuss the effects, viability, and predictions of the string-theory-motivated Kahler Moduli Inflation I (KMII) potential, coupled to a light scalar field $chi$, which can provide a possible source for todays dark energy density due to the potentials non-vanishing minimum. Although the model is consistent with the current measured Cosmic Microwave Background (CMB) data, tighter constraints from future observations are required to test the viability of the KMII potential with its minimum equivalent to the observed cosmological constants energy density $rho_{Lambda_{mathrm{obs}}}$. We implement a Markov Chain Monte Carlo (MCMC) sampling method to compute the allowed model parameter ranges and bounds on the inflatons mass $m_{phi}$ and reheating temperature $T_{mathrm{reh}}$. Additionally, our lattice simulations predict stochastic gravitational-wave backgrounds generated during the inflaton oscillations that would be observable today in the $10^{9}$-$10^{11} , mathrm{Hz}$ frequency range. All the results and details will be included in our upcoming paper with the same title.
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