The 9th edition (2018) of Turabian's Manual for Writers is the most current edition in use, and features two different style formats: Author/Date and Notes/Bibliography.
The Notes/Bibliography or NB format is most often used for courses in literature, history and the arts.
The Author/Date or AD format is most often used in the social sciences.
Be sure to check with your course teachers and pick one style to use consistently throughout your paper.