If you're feeling burned out on meat then you really might not need to eat so much of it. I would suggest that you follow your body's cues on this and don't force yourself you eat more meat than than feels right for you. You're needs will probably vary from day to day and week to week, so it's ok to be flexible. Incorporating more fresh vegetables (especially greens!) never hurt anyone. :-)
We must learn to do what the leaf and the whale and the wind do of their own nature. We must learn to keep the balance. Having intelligence, we must not act in ignorance. Having choice, we must not act without responsibility
-Sparrowhawk, The Farthest Shore by Ursula K. LeGuin