In this article, we explore some emerging properties of the stellar objects in the frame of the f(R,T)gravity by employing the well-known Karmarkar condition, where Rand Trepresent Ricci scalar and trace of energy momentum tensor respectively. It is worthy to highlight here that we assume the exponential type model of f(R,T)theory of gravity f(R,T)=R+α(e−βR−1)+γTalong with the matter Lagrangian Lm=−13(pr+2pt)to classify the complete set of modified field equations. We demonstrate the embedded class-I technique by using the static spherically symmetric line element along with anisotropic fluid matter distribution. Further, to achieve our goal, we consider a specific expression of metric potential grr, already presented in literature, and proceed by using the Karmarkar condition to obtain the second metric potential. In particular, we use four different compact stars, namely LMCX−4,EXO1785−248,CenX−3and 4U1820−30and compute the corresponding values of the unknown parameters appearing in metric potentials. Moreover, we conduct various physical evolutions such as graphical nature of energy density and pressure progression, energy constraints, mass function, adiabatic index, stability and equilibrium conditions to ensure the viability and consistency of our proposed model. Our analysis indicates that the obtained anisotropic outcomes are physically acceptable with the finest degree of accuracy.