Here is the decree which recently came into effect, that I assume was the instigating event for this report.
It explicitly state a number of physical conditions which shall preclude an applicant from receiving a drivers license.
Astute readers will note that this has no explicit mention of either transsexual or transgender people, fetishism, exhibitionism or voyeurism.
However, the document refers to mental conditions, as specified in ICD-10, the World Health Organization's International Classification of Diseases, 10th Edition, see: http://www.who.int/classifications/icd/en/ , which does include some "Disorders of Sexual Preference" ( see: http://apps.who.int/classifications/icd10/browse/2015/en#/F65 ) that include the listed notions.
Whether this supposed adoption of an international standard for recognizing mental health disorders is done cynically, and only as a roundabout tactic to prevent trans people from driving, it is difficult for me to say. Likewise I would say it is difficult for the BBC, however the given title is much sexier than "Russia adopts international mental health standard in driver's licensing directive."