  In this short paper we investigate any non-trivial effect the novel
Gauss-Bonnet gravity may give rise in the cosmic evolution of the Universe in
four spacetime dimensions. We start by considering a generic
Friedmann-Lema\^itre-Robertson-Walker (FLRW) metric respecting homogeneity and
isotropicity in arbitrary space-time dimension $D$. The metric depends on two
functions: scale factor and lapse. Plugging this metric in novel
Einstein-Gauss-Bonnet (EGB) gravity action, doing an integration by parts and
then take the limit of $D\to4$ give us a dynamical action in four spacetime
dimensions for scale factor and lapse. The peculiar rescaling of Gauss-Bonnet
coupling by factor of $D-4$ results in a non-trivial contribution in the action
of the theory. In this paper we study this action. We investigate the dynamics
of scale-factor and behavior of lapse in an empty Universe (no matter). Due to
complexity of the problem we study the theory to first order in Gauss-Bonnet
coupling and solve system of equation to the first order. We compute the first
order correction to the on-shell action of the empty Universe and find that its
sign is opposite of the leading order part. We discuss it consequences.
