This paper presents three different anisotropic extensions of an isotropic solution in the context of $ f(\mathbb{R}, \mathbb{T}) $ gravity. The authors construct these models by introducing anisotropy through a gravitational decoupling technique, which allows the field equations to be split into two sets. The first set is solved using the Buchdahl isotropic solution, while the second set is solved using constraints related to the additional gravitational source. The unknown constants in the first set are determined using matching conditions between the interior and exterior geometries at the spherical boundary. The mass and radius of the compact star LMC X-4 are used to analyze the physical relevance of the models. The results show that models II and III are in good agreement with the acceptability conditions for the considered parameters. The paper also discusses the physical acceptability of the models, including energy conditions, stability, and anisotropy. Three different anisotropic models are formulated, each with distinct constraints. Model I uses a density-like constraint, Model II uses a pressure-like constraint, and Model III uses a linear equation of state. The results show that Model II is stable, while Model I is unstable. Model III is also stable and viable. The paper concludes that the developed models are physically acceptable and consistent with the observed data.This paper presents three different anisotropic extensions of an isotropic solution in the context of $ f(\mathbb{R}, \mathbb{T}) $ gravity. The authors construct these models by introducing anisotropy through a gravitational decoupling technique, which allows the field equations to be split into two sets. The first set is solved using the Buchdahl isotropic solution, while the second set is solved using constraints related to the additional gravitational source. The unknown constants in the first set are determined using matching conditions between the interior and exterior geometries at the spherical boundary. The mass and radius of the compact star LMC X-4 are used to analyze the physical relevance of the models. The results show that models II and III are in good agreement with the acceptability conditions for the considered parameters. The paper also discusses the physical acceptability of the models, including energy conditions, stability, and anisotropy. Three different anisotropic models are formulated, each with distinct constraints. Model I uses a density-like constraint, Model II uses a pressure-like constraint, and Model III uses a linear equation of state. The results show that Model II is stable, while Model I is unstable. Model III is also stable and viable. The paper concludes that the developed models are physically acceptable and consistent with the observed data.