This article outlines the average 2 month old baby schedule, including milk feedings for breastfeeding and formula-feeding babies, solids, naps, and nighttime sleep. Skip to the schedules 2 Month Old Baby Sleep At 2 months, your baby is moving past the newborn stage but is still considered a newborn. Your baby is likely staying awake slightly more during the day and may be starting to smile more at you and showing some personality. It's such a wonderful time of development! By 2