APA Style (7th ed.)
Place the Jr. or III after the author's first initials in the reference, and place a comma to separate the initials from the suffix (American Psychological Association, 2020, p. 286)
Example
Lastname, A., Jr. (year). Title of resource. Retrieved from URL
Don't include the Jr. or III in the in-text citation: (Lastname, year, p. X).
Reference
American Psychological Association. (2020). Publication manual of the American Psychological Association (7th ed.). https://doi.org/10.1037/0000165-000