This paper introduces a novel model for a generalized thermoelastic medium with homogeneity and isotropy, by applying the Modified Green-Lindsay (MG L) theory of thermoelasticity. The focus is on analysing the deformation due to time-harmonicbyconsideringtheimpactofnon-localandtwo-temperature(TT) parameters. The governing equations are solved using dimensionless quantities andapotentialfunction.Toaddresstheboundaryvalueprobleminthefrequency domain, the Hankel transform is employed. Specific boundary conditions, such as a normal force or thermal source, are applied. Analytical expressions for components of displacement, stresses, conductive temperature, and tempera ture distribution are derived in the transformed domain A numerical inversion technique is utilised to translate the solution into the physical domain. The study delves into exploring the influence of non-local and two-temperature parameters, as well as different theories of thermoelasticity on stresses, tem perature distribution and conductive temperature. These effects are visually representedthroughgraphicalillustrations.Additionally,specialcasesofinterest are examined and discussed