First, the correlation between canine teeth and carnivory isn't absolute. Gorillas have fearsome canines, and they're herbivores. Humans are the only primates capable of rotary chewing, thanks to our small canines. (Encyclopedia Britannica: Canine Tooth)
Even with our small canines, some groups of humans live almost entirely on meat. However, humans are clearly omnivores in general.
Our closest living relative is the chimpanzee. Chimps are primarily herbivores, but they love meat.
Mastering the art of tool (and weapon) making, made our ancestors more efficient hunters. Meat became an especially important source of food for people living in colder climates, where plants were scarce in winter or year round. It was thus presumably more important during the Ice Age, which was an important chapter in our evolution.
But humans remain adapted to an omnivorous diet, ranging from herbivory (veganism) to carnivory.