I hope you heard wrong, because my diet is VERY grain-heavy, and has been for a long time. My idea of a "serving" is generally 3 or 4 times what the books say- a whole cup of rice (much more after cooking), 4 slices of bread...
I generally use whole grains because of their higher mineral, protein, and fiber content, but I do use white bread and rice sometimes. One thing I've wondered about: if you have a tendency to diabetes, even whole wheat bread might be a problem, as it causes a blood sugar spike almost as great as white (unless the flour is not too finely ground- lots of unground "wheat berry"). Supposedly, thick rolled oats (as opposed to thin, quick-cooking) also give a slower rise in blood sugar levels- but I find that thick oats may give me a different problem. (The opposite of constipation)
I try not to eat a high-carb meal very late in the day when I'm not going to be physically active afterwards.
Of course you should have variety in your diet, whether you're veg or omni. Why did your source say grains were bad in excess?
Peasant (1963-1972) and Fluffy (1970s?-1982- I think of you as 'Ambrose' now)- Your spirits outshone some humans I have known. Be happy forever.