A theoretical procedure to obtain the Ginzburg-Landau (GL) equations with the inclusion of localized anisotropy in the superconducting sample is shown. Using this theory, it is possible to study the vortex structures in two-dimensional mesoscopic superconductors with defects in the presence of a uniform magnetic field. The defects would be included through variation of parameter γ(x, y, z) considering different shapes into the sample. This theory would allow to find unconventional vortex states which can show vortex clusters or exhibiting asymmetry. In samples with defects the vortex strings are formed owing to the interactions of vortices with variable Meissner currents through the sample due to spatial change of the anisotropy, but also the thermodynamics parameters of the superconducting sample could be determined as a function of the degree of the anisotropy generated in the defect.