The basic aim of this paper is to investigate the existence of traversable wormhole in the background of $f(R,\varphi ,X)$ theory of gravity, where the terms used in this theory are clarified as: $R$ is the Ricci Scalar, $\varphi$ represents the scalar potential and $X$ denotes the kinetic term. For this purpose, we choose the spherically symmetric space-time to discuss the existence of wormhole geometry for some realistic regions. For our current study, we consider three different kinds of fluids: anisotropic fluid, isotropic fluid and barotropic fluid. We determine some exact solutions by taking some specific shape function and red-shift function for anisotropic fluid and examine the behavior of energy conditions. Furthermore, we discuss the geometry of shape functions by considering some numerical solution for isotropic and barotropic fluid respectively. It is noticed that energy conditions especially Null energy condition and Weak energy condition are violated for anisotropic fluid as well as for isotropic and barotropic fluid. The violation of these energy conditions indicates the presence of exotic matter, which is the main candidate for the existence of wormhole. Under some sensible conditions, the analysis may gives an assurance of the existence of wormhole geometries in $f(R,\varphi ,X)$ theory of gravity.

本文的基本目的是研究可穿越虫洞在背景下的存在。 $F(\mathrm{电阻},\phi ,X)$ 引力理论，其中该理论中使用的术语被澄清为： $\mathrm{电阻}$ 是 Ricci 标量， $\phi$ 代表标量势和 $X$表示动力学项。为此，我们选择球对称时空来讨论某些现实区域中虫洞几何形状的存在。在我们目前的研究中，我们考虑三种不同的流体：各向异性流体、各向同性流体和正压流体。我们通过对各向异性流体采用一些特定的形状函数和红移函数来确定一些精确的解，并检查能量条件的行为。此外，我们通过分别考虑各向同性和正压流体的一些数值解来讨论形状函数的几何形状。注意到能量条件，尤其是零能量条件和弱能量条件对于各向异性流体以及各向同性和正压流体是违反的。违反这些能量条件表明存在外来物质，这是虫洞存在的主要候选者。在一些合理的条件下，该分析可以保证虫洞几何形状的存在$F(\mathrm{电阻},\phi ,X)$ 引力理论。