The Standard Model has been the most successful theory in the history of particle physics, but it fails to account for many important questions, such as the origin of neutrino mass. The so-called left-right symmetric models provide an easy answer to these issues by adding a simple extension to the Standard Model gauge group, but it implies the existence of heavy right-handed neutrinos and additional Higgs particles. In this work we discuss how the left-right symmetry group would affect neutrino oscillations taking place in long baseline neutrino oscillation experiments in the form of sterile neutrinos and non-standard neutrino interactions, using the Deep Underground Neutrino Experiment as our example.