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We discuss the initial conditions problem for inflation driven by the vacuumenergy of a plateau potential, and in particular the Starobinsky inflation. Weshow that the supergravity embedding of the $R+R^2$ theory naturally decreasesthe size of the acausal homogeneity, required for the low-scale inflation tooccur, thanks to the presence of the dynamical pure supergravitational"auxiliary" fields. We examine the evolution of the $R+R^2$ fields within aFLRW Universe. We also find a dependence of the initial conditions problem onthe background spatial curvature.

On the initial conditions for inflation with plateau potentials: the $R+R^2$ (super)gravity case