  The aim of this paper is to study static spherically symmetric noncommutative
$F(T,T_G)$ wormhole solutions along with Lorentzian distribution. Here, $T$ and
$T_G$ are torsion scalar and teleparallel equivalent Gauss-Bonnet term,
respectively. We take a particular redshift function and two $F(T,T_G)$ models.
We analyze the behavior of shape function and also examine null as well as weak
energy conditions graphically. It is concluded that there exist realistic
wormhole solutions for both models. We also study the stability of these
wormhole solutions through equilibrium condition and found them stable.
