The Quasi-Biennial Oscillation (QBO) exhibits a significant modulation of the Madden-Julian Oscillation (MJO) during the boreal winter season in the observations. The QBO easterly (QBOE) phase amplifies the MJO, making it more likely to propagate across the Maritime Continent (MC) region, and vice versa for the QBO westerly (QBOW) phase. However, such QBO-MJO connection is not represented by the current generation of climate models. This study further investigates the QBO-MJO connection for the models participating the QBO initiative phase 2 experiment where the tropical stratosphere is nudged to the observations. Results show that although the QBO is well represented in the models through the nudging, the simulated MJO shows no differences in amplitude or propagation between the QBO phases in all models. MJO in these models shows biases in their amplitude and cloud-radiative feedbacks. However, no solid explanations are found for the missing QBO-MJO connection in these models.