  Several traversable wormholes (T-WHs) of the Morris-Thorne type have been
presented as exact solutions of Einstein-nonlinear electrodynamics gravity
(GR-NLED), e.g. \cite{Arellano2009, Bronnikov2018,Bronnikov_Walia2021,
Canate_Breton2018, Canate_Breton_Ortiz2020, Canate_Magos_Breton2020}. However,
none of these solutions is support by a nonlinear electrodynamics model
satisfying plausible conditions. In this work, we present the first traversable
wormhole solution of Einstein-nonlinear electrodynamics gravity coupled to a
self-interacting phantom scalar field (GR-NLED-SF) with a NLED model such that
in the limit of weak field becomes the Maxwell electrodynamics, is presented.
Furthermore, we show that this novel T-WH spacetime is also an exact solution
of the Einstein-scalar-Gauss-Bonnet (EsGB) theory with a nonlinear
electrodynamics source, but now with a real scalar field having a positive
kinetic term.
