There can be a number of different reasons why a Beardie decides to stop eating what is good for it. If it is a result of the lizard's "personal taste," some of these guys get quite spoiled, then you can often mix the finely chopped healthy stuff with moistened stuff the lizard does eat. However, one of my favorite tricks, which is also beneficial in other ways, is to increase the lizards exposure to unfiltered sunlight or increase UV exposure. Many basking lizards behavior and mindset will change when these factors are altered and that can also effect willingness to feed on alternative foods. At the very least, you know the exposure is beneficial for other reasons as well. It can't hurt.