Axial Spondylarthritis (ax-SpA) is an important cause of inflammatory back pain in young adults. Janus kinase inhibitors (JAKi) has been approved for treatment of ax-SpA. Tofacitinib and baricitinib are drugs from same family (JAKi). Baricitinib is relatively less expensive than Tofacitinib. The goal of this non-inferiority clinical trial is to learn about the efficacy of baricitinib in refractory axial spondyloarthritis ( ax-SpA) and to compare its effect with that of tofacitinib. The main questions it aims to answer are: 1. Is baricitinib 4 mg effective in refractory ax-SpA? 2. Is baricitinib non-inferior to tofacitinib in refractory ax-SpA? Participants (treatment group, 92 patients) will be treated with baricitinib 2 mg twice daily for 12 weeks. Ninety two patients getting tofacitinib 10 mg/day (comparison group) will be taken as historical control from another study on the efficacy of tofacitinib in refractory ax-SpA?