The extrusion procedure used to manufacture Short Fiber Reinforced Composites (SFRCs) results in significant anisotropy in the components due to the skin-core structure. While there are existing accurate stiffness prediction methods available, there is still a need in engineering for an efficient and cost-effective prediction method. This work proposes an efficient, low-cost and effective stiffness prediction method for skin-core structure using the orientation averaging method and series-parallel model. Initially, the sample underwent analysis using industrial CT and metallographic microscopy to ascertain the fiber characteristics and skin-core dimensions. Furthermore, it is presumed that the skin and core are distinct materials, and their stiffness is determined using the orientation averaging method. Finally, the stiffness of the sample was determined by employing a series-parallel model for analyzing stress-strain transmission, which involved merging the skin and core components. Experimental and finite element results confirm the method's accuracy, boasting a calculation time of 31.36 seconds and a maximum stiffness error below 10%. This method is expected to be applied to automotive, construction, and other engineering fields to meet the demand for fast, cost-efficient, and effective stiffness prediction of SFRCs.