  In this study, we explore the new wormhole solutions in the framework of new
modified $f(R,L_m)$ gravity. To obtain a characteristic wormhole solution, we
use anisotropic matter distribution and a specific form of energy density. As
second adopt the isotropic case with a linear EoS relation as a general
technique for the system and discuss several physical attributes of the system
under the wormhole geometry. Detailed analytical and graphical discussion about
the matter contents via energy conditions is discussed. In both cases, the
shape function of wormhole geometry satisfies the required conditions. Several
interesting points have evolved from the entire investigation along with the
features of the exotic matter within the wormhole geometry. Finally, we have
concluding remarks.
