Ramucirumab and Trifluridine/Tipiracil or Paclitaxel for the Treatment of Patients With Previously Treated Advanced Gastric or Gastroesophageal Junction Cancer

This phase II trial studies the effect of the combination of ramucirumab and trifluridine/tipiracil or paclitaxel in treating patients with previously treated gastric or gastroesophageal junction cancer that has spread to other places in the body (advanced). Ramucirumab may damage tumor cells by targeting new blood vessel formation. Trifluridine/tipiracil is a chemotherapy pill and that may damage tumor cells by damaging their deoxyribonucleic acid (DNA). Paclitaxel may block cell growth by stopping cell division which may kill tumor cells. Giving ramucirumab and trifluridine/tipiracil will not be worse than ramucirumab and paclitaxel in treating gastric or gastroesophageal junction cancer.