The study aims to explore the possibility of constructing new exact solutions for anisotropic sources in the context of modified f(R, T) gravity by embedding a static spherically symmetric metric into a five-dimensional pseudo-Euclidean space. The authors introduce a novel metric potential γ[r] and derive another metric potential σ[r] using the embedded class one technique. They investigate how the fluid distribution in compact stars is influenced by the MIT bag model equation of state. By using embedded class one solutions, they develop the field equations and determine the unknown parameters using observed data from seven stars. The effects of energy density, anisotropic factor, transversal, and radial pressure within the cores of these stars are examined for a specific Bag constant. The stability of the cosmic structure and the physical validity of the model are assessed through equilibrium conditions, energy, and causality parameters. Additionally, an algorithm by Lake 2003 is used to derive all static spherically symmetric ideal fluid solutions in the background of anisotropic source distribution. The model's physical conditions are satisfied, and the magnitude of the Bag constant agrees with experimental data, demonstrating its feasibility.The study aims to explore the possibility of constructing new exact solutions for anisotropic sources in the context of modified f(R, T) gravity by embedding a static spherically symmetric metric into a five-dimensional pseudo-Euclidean space. The authors introduce a novel metric potential γ[r] and derive another metric potential σ[r] using the embedded class one technique. They investigate how the fluid distribution in compact stars is influenced by the MIT bag model equation of state. By using embedded class one solutions, they develop the field equations and determine the unknown parameters using observed data from seven stars. The effects of energy density, anisotropic factor, transversal, and radial pressure within the cores of these stars are examined for a specific Bag constant. The stability of the cosmic structure and the physical validity of the model are assessed through equilibrium conditions, energy, and causality parameters. Additionally, an algorithm by Lake 2003 is used to derive all static spherically symmetric ideal fluid solutions in the background of anisotropic source distribution. The model's physical conditions are satisfied, and the magnitude of the Bag constant agrees with experimental data, demonstrating its feasibility.