This paper presents theoretical investigation on the formation of elliptical q-Gaussian breather solitons in diffraction managed optical media. The optical nonlinearity of the medium has been modeled by cubic-quintic nonlinearity. To obtain the physical insight into the propagation dynamics of the laser beam, semi-analytical solution of the wave equation for the laser beam has been obtained by using variational theory approach in W.K.B approximation. Emphasis is put on investigating evolutions of transverse dimensions and axial phase of the optical beam.