A. is closely linked to this social evolution, so in order to prevent abnormal conduct, an owner must learn to care and dominate the animal simultaneously
"learn to care...the animal?" need "for" to make sense here. incorrect
B. is closely linked as this social evolution, and so in order to prevent abnormal conduct, an owner must learn to care for and dominate the animal simultaneously
"as" what? should be closely linked to something,not linked as something.
canines....,and their behavior...., and so in order to.." not parallel
C. is closely linked to this social evolution, so in order to prevent abnormal conduct, the animal should simultaneously be cared for and dominated by the owner who must learn
owner must learn what?? not the best choice but hold on
D. and social evolution are closely linked, so in order to prevent abnormal conduct, an owner must learn to care for and dominate the animal simultaneously
seems fine
E. is closely linked to this social evolution, so in order to prevent abnormal conduct, an owner must learn to simultaneously care for and dominate the animal at the same time
use of words "simultaneous" and "same time" together in a sentence is redundant as both convey the same meaning.
between C& D, D conveys the meaning more clearly and is in active voice.
IMO D