In a food processor fitted with the steel blade, process the carrots until finely ground. Add the remaining ingredients. Process until the dates and nuts are very finely chopped and incorporated into the carrots. The mixture should be moist enough to hold together when pinched between your fingers. (If not, add an extra date or two.)
Roll the mixture into small balls. Store in the refrigerator in an airtight container for up to 5 days.