Maternal Care Access and Reducing Emergencies Act or the Maternal CARE Act This bill requires the Department of Health and Human Services (HHS) to award grants to health-professional training programs for training that addresses implicit bias (e.g., racial bias) in the practice of obstetrics and gynecology. HHS must also award grants to up to 10 states for pregnancy medical-home programs that reduce adverse maternal-health outcomes and racial disparities. Among other requirements, such programs must prioritize the care of uninsured individuals or Medicaid enrollees. The National Academy of Medicine must make recommendations for incorporating bias recognition in clinical-skills tests at medical schools.