  In this paper, in an FLRW background and a perfect fluid equation of state,
we explore the possibility of the realization of an emergent scenario in a 4D
regularized extension of Einstein-Gauss-Bonnet gravity, with the field
equations particularly expressed in terms of scalar-tensor degrees of freedom.
By assuming non-zero spatial curvature ($k = \pm 1$), the stability of the
Einstein static universe (ESU) and its subsequent exit into the standard
inflationary system is tested through different approaches. In terms of
dynamical systems, a spatially closed universe rather than an open universe
shows appealing behaviour to exhibit a graceful transition from the Einstein
static universe to standard cosmological history. We found that under linear
homogeneous perturbations, for some constraints imposed on the model
parameters, the Einstein static universe is stable under those perturbations.
Moreover, it is noted that for a successful graceful transition, the equation
of state $\omega$ must satisfy the conditions $-1 < \omega <0$ and $\omega <
-1$ for closed and open universes, respectively. Also, under density
perturbations, the Einstein static universe is unstable if the fluid satisfies
the strong energy condition but is stable if it violates it, for both closed
and open universes. Furthermore, the Einstein static universe is seen to be
stable under vector perturbations and tensor perturbations, regardless of
whether the fluid obeys or violates the SEC.
