  In this letter, we obtain two new embedded WH solutions by using the class-I
approach in the background of newly fourth-order Ricci inverse gravity. We show
that the combination of these newly calculated shape functions and Ricci
inverse gravity provides us with the possibility of obtaining traversable
wormholes. All the required wormhole properties are discussed, along with
flaring out and flatness conditions. The embedded diagrams within the scope of
upper and lower universes are provided under the effect of both newly
calculated embedded shape functions. All the energy conditions are explored
with valid and negative regions. The presence of exotic matter is confirmed due
to the negative region in all the energy conditions, specifically in the null
energy condition. The Doppler effect through the red-blue shifts function is
also discussed. Several key findings from the current research are described
that demonstrate the validity of these wormhole solutions in Ricci inverse
gravity.
