  The Newman-Janis technique and the semi-classical Hamilton-Jacobi approach
are two distinct phenomena that we apply in this paper to examine the Hawking
temperature $(T_{H})$ for $4$-dimensional gauge super gravity like black hole
with rotation parameters. First, using the Newman-Janis algorithmic approach,
we compute the gauge super gravity like black holes solution. We use surface
gravity to derive the $T_H$ for a gauge super gravity like black hole. In order
to do this, we use the Lagrangian field equation in the background of
generalized uncertainty principle, semi-classical Hamilton-Jacobi approach and
the WKB approximation technique. Furthermore, we investigate the stability of
considered geometry with the help of corrected entropy and well known
thermodynamic quantities. It is concluded that the gauge super gravity like
black holes is stable under first-order corrections.
