I love seagrass mattes. They are sort of healthy, woven hay, so great to chew. But they are especially good to use to cover any carpets or floor areas that have been chewed already, to stop that behavior and give a chewing alternative. I broke Sammy of the habit of pulling up carpet edges by cutting my seagrass into 2″ strips and covering along the baseboards in tempting areas. They are good for better traction on tiled floors, too.
More toys and chewable distractions, yes. Just don’t get up every time he chews on bars to wake you. It will teach him that making noise will get the result he wants, your attention or treats, and he will do it more, not less.
If you ignore him now, just completely stay still and don’t get up or speak, he may soon realize it isn’t working. If you give him a bedtime toy before you get to bed, so he associates it with “here is tonight’s toy. Don’t expect me to get up for you again.” he may learn that is his new routine and that’s all he’ll get. It’s positive reinforcement for NOT chewing. Negative punishment, or actions resulting from negative behaviors, do not work on bunnies. They are smart enough to train and to teach results from positive behaviors. For now, do nothing when you hear noise.