A process is provided for producing a liquid hydrocarbon material suitable for use as a fuel or as a blending component in a fuel. The process includes co-processing a pyrolysis oil derived from a waste plastic raw material and a biorenewable feedstock comprising triglycerides in a catalytic cracking process in a presence of a solid catalyst at catalytic cracking conditions to provide a cracking product. The cracking product may be fractionated to provide at least one of a gasoline fraction and a middle distillate fraction.