Yes,I'm non-vegetarian and practice yoga regularly and consider myself yogi and don't think there is something related between yoga and diet.
I am pretty much vegan for a lot of reasons...but I try not to preach about it.
I'm meat eater but do be vegetarian few day in a month ( religion issues but no related to my yoga practice ) 
As we that meat provide high quality proteins. So getting a balanced diet plan , Meat and poultry should our diet plan such as;
It contains amino acid and complete proteins that create naturally which is benefited as we grow up older.
Meat contains also zinc and iron that are naturally absorbed easily in our body. Getting bone health meat and poultry is essential for our body.
High-quality proteins are vital for muscle building that we got from meat and poultry food.
Meat provides vitamin 12 which helps us for brain development and help us nervous system function properly.
Recent studies show that meat proteins maintain healthy cardiovascular function.
I would like to see those studies. We can get all the protein we need from legumes and grains as well as other vegetables. The B12 can easily be gotten in fortified foods or multiple vitamin.
I rarely eat meat and when I do, it's chicken.
It’s great that there are so many plant-based options for getting protein and B12 nowadays. Legumes and grains really do provide plenty of what we need nutritionally. For people who still enjoy eating meat but want balance, there are ways to incorporate both. You might even get a deal on a quick meal through a Jack in the Box email when you’re in a rush. It’s all about finding what works best for your diet and lifestyle.
I prefer to have both, but again, I like meat more and also have it. Also, there are many nutritions which we cannot from any other food except meat.