Making Objective Drug Evidence Revisions for New Labeling Act of 2020 or the MODERN Labeling Act of 2020 This bill authorizes the Food and Drug Administration (FDA) to require updates to outdated labels for certain generic drugs if the updates will provide a public health benefit. Generally, the FDA may use this authority to update the label of a generic version of a brand-name drug that has been withdrawn from the market for reasons other than safety or effectiveness.