In Srimad Bhagavad Gita shri krishna, Shri Krishna has specifically told what exact food heHe accept.
पत्रम पुष्पम फलम तोयम यो मे भक्त्या प्रच्छति।
तदहम भक्तत्युपहृतमश्नामि प्रयतात्मन:।।26।।।। (9.26)
"IfIf one offers Me with love and devotion
a leaf, a flower, fruit or water, I will accept it."
That means he must be a vegetarian.