In this paper, our purpose is to investigate the anisotropic stellar structure caused by $f(R,\varphi )$ modified gravity, where $R$ represents the Ricci scalar and $\varphi$ represents the scalar potential. This study emphasizes the impact of static spherically symmetric stellar structures using anisotropic distribution. Furthermore, an anisotropic matter source is employed to explore the stability of star formations. To get the value of unknown parameters of the compact structures, we compare the Schwarzschild metric to external geometry. Moreover, we examine the physical attributes of compact objects by presuming a viable $f(R,\varphi )=\varphi (R+\alpha R^2)$ gravity model. We analyze the graphical behavior of density and pressure, the Tolman–Oppenheimer–Volkov equation, energy conditions, mass function, surface redshift, and adiabatic index. It is recognized that all the obtained results deliver emphatic evidence for the stability of our considered realistic stars.

在本文中，我们的目的是研究由$F（右,\phi ）$修正重力，其中$右$表示 Ricci 标量和$\phi$代表标量势。这项研究强调了使用各向异性分布的静态球对称恒星结构的影响。此外，采用各向异性物质源来探索恒星形成的稳定性。为了获得紧凑结构的未知参数值，我们将史瓦西度量与外部几何进行比较。此外，我们通过假设可行的方法来检查致密物体的物理属性$F（右,\phi ）=\phi （右+\alpha {右}^2）$重力模型。我们分析了密度和压力、托尔曼-奥本海默-沃尔科夫方程、能量条件、质量函数、表面红移和绝热指数的图形行为。人们认识到，所有获得的结果都为我们认为的现实恒星的稳定性提供了有力的证据。