Bi0.8Ba0.2FeO3/La0.7Sr0.3MnO3 multiferroic heterostructures are successfully synthesized on single crystal LaAlO3(100) substrates by pulsed laser deposition via adjusting the parameters of laser energy, laser frequency, substrate temperature, oxygen pressure, distance between substrate and target, etc. The pure phase with perovskite structure is confirmed by the X-ray diffraction measurements. Using high-resolution transmission electron microscopy and energy dispersive X-Ray spectroscopy, we find that all the layers show preferential (00l) orientation, suggesting the epitaxial growth of the multilayered structure. Isothermal (7 K) M-H curves measured on sample after cooling the sample down to lower than ± 1 T fields reveal a shift in M-H loop. The strong temperature dependence of HEB is likely to be directly related to an electronic orbital reconstruction at the interface and complex interplay between orbital and spin degrees of freedom.