There are a number of different theories which tend to explain the concept of universe’s accelerated expansion. Among these theories, modified gravity is the most promising one. This paper elaborates matter distribution along with different characteristics of anisotropic compact stars in $f(R,G)$ gravity background. Specifically, to profoundly understand physical behavior of the compact stars, we considered six compact stars, namely: Her X-1 (${\mathrm{\text{CS}}}_1$), SAXJ1808.4-3658 (${\mathrm{\text{CS}}}_2$), 4U1820-30 (${\mathrm{\text{CS}}}_3$), PSR J 1614 2230 (${\mathrm{\text{CS}}}_4$), VELA X-1 (${\mathrm{\text{CS}}}_5$) and Cen X-3 (${\mathrm{\text{CS}}}_6$) and calculated the corresponding quantities such as energy density ($\rho$), radial pressure ($p_r$) and tangential pressure ($p_t$) using three distinct models of $f(R,G)$ gravity. For simplicity, $f(R,G)$ gravity is divided into two parts as: $f(R,G)=f_1(R)+f_2(G)$. The first part $f_1(R)$ is considered Hu–Sawicki like model, while the second part $f_2(G)$ is considered logarithmic like for Model 1 and power law like for Model 2 and Model 3. Predominantly, measurements of anisotropy, the energy conditions (ECs) and stability aspects of models for considered compacts stars are presented using graphical techniques. Furthermore, we also established that for the $f(G)$ model parameter ($n>0$), all the six stars show conventional behavior.

有许多不同的理论倾向于解释宇宙加速膨胀的概念。在这些理论中，修正引力是最有前途的一种。本文阐述了物质分布以及各向异性致密星的不同特征$F(R,G)$重力背景。具体来说，为了深入了解致密星的物理行为，我们考虑了六颗致密星，即：Her X-1（${\mathrm{\text{CS}}}_{\mathrm{1个}}$), SAXJ1808.4-3658 (${\mathrm{\text{CS}}}_{\mathrm{2个}}$), 4U1820-30 (${\mathrm{\text{CS}}}_{\mathrm{3个}}$), PSR J 1614 2230 (${\mathrm{\text{CS}}}_{\mathrm{4个}}$), 帆船 X-1 (${\mathrm{\text{CS}}}_{\mathrm{5个}}$) 和岑 X-3 (${\mathrm{\text{CS}}}_{\mathrm{6个}}$）并计算相应的量，如能量密度（$\rho$), 径向压力 ($p_r$) 和切向压力 ($p_{吨}$) 使用三种不同的模型$F(R,G)$重力。为简单起见，$F(R,G)$重力分为两部分：$F(R,G)=F_{\mathrm{1个}}(R)+F_{\mathrm{2个}}(G)$. 第一部分$F_{\mathrm{1个}}(R)$被认为是 Hu-Sawicki 样模型，而第二部分$F_{\mathrm{2个}}(G)$模型 1 被认为是对数的，模型 2 和模型 3 被认为是幂律。主要是，使用图形技术呈现所考虑的致密星模型的各向异性、能量条件 (EC) 和稳定性方面的测量。此外，我们还确定了对于$F(G)$模型参数（$n>0$), 所有六颗星都表现出常规行为。