Is a human omnivore diet [vegetable/fruit and meat] a biblical concept? We often read the Genesis creation story that we are told in [KJV] Chapter 1, verses 29 - 30
"And God said, “See, I have given you every herb that yields seed which is on the face of all the earth, and every tree whose fruit yields seed; to you it shall be for food. And to every beast of the earth, and to every fowl of the air, and to every thing that creepeth upon the earth, wherein there is life, I have given every green herb for meat: and it was so."
Well, that's fine for the counted-days of creation, and these verses occur as part of the sixth day, but then there was a seventh day; God removed his hat and rested, but putt the hat back on for an eighth, and so on uncounted days, continuing creation, and, I interpret, instituted a concept that endures to this day; the Darwinian process called natural selection, or evolution; where changes in form and function began to occur. Thus, we encounter, in Genesis 9: 3 [KJV], the following:
"Every moving thing that liveth shall be meat for you; even as the green herb have I given you all things."
You note, we are still in Eden. God is still revealing things to Adam & Eve.
If "every moving thing that liveth" was added to the human diet, why, then, later, was diet restricted as recorded in Leviticus 11 [KJV] [I'll not quote - go read the chapter.] And yet later, in the NT, Peter has a dream that effectively dispenses with the dietary Law of Moses [Acts 10: 11-16 - including v. 15: "And the voice [of an unseen angel] spake unto him again the second time, What God hath cleansed, that call not thou common" or, as might be interpretred, "unclean."
Dietary law may be considered not as a strict cleanliness issue of one sort or another of available foods, but of a means to judge our acceptance of obedience to whatever law is given from God, which is why, in our day, my own religious faith [LDS] has certain restrictions of consumption such as liquor, and smoking. Personally, I add soda but on very rare occasion, and only occasional red meat, preferring fish, chicken, and pork loin.