What's wrong is that #1) She has no
UVB light that's working I guess, and without a strong, adequate
UVB light providing UVB/UVA for at least 13-14 hours every day it doesn't matter how much calcium w/D3 you give her, she cannot absorb ANY nutrition that she is taking in from supplements or food! And at only 1-2 months old she doesn't need salad, that isn't going to do it. They need tons and tons of live insect protein every single day from hatching to a year old, and up until 8 months old they should be getting 2-3 live insect feeding sessions, each lasting 10-15 minutes, where she is allowed to eat as many live insects as she wants to. At her age she should be eating between 40-60 appropriately sized live insects every single day!!!
Bearded Dragons do 90% of their growth and development during their first year of life, and this is why most dragons do not eat many, if any greens or veggies until they are around a year old. And even if they do, as yours may be, it's obviously not what she needs. They know that they need a ton of live insect protein every single day to grow properly, not greens/veggies. You shouldn't give a 2 month old dragon any greens or veggies until after their second live insect feeding session of the day, as they cannot be filling up on greens and veggies, and they not eating enough live insect protein. So please, go out and get her some appropriately sized crickets, roaches, silkworms, or BSFL/Phoenix Worms, or order them online in bulk, which is your best bet, as at 2 months old until she's around 8 months old she should be easily going through 1,000 live insects a month. Places like
www.dubiaroaches.com are very cheap, you can buy 1,000 size large BSFL for $23 shipped. And they'll last for a month. And you need to be dusting all of the live insects in one of her 3 daily live insect feeding sessions in calcium powder 5 days a week, and in a multivitamin 3 days a week for the rest of her life...
That being said, if she doesn't have an adequate UVB tube, she's not going to want to eat much of anything at all, and she's going to become very lethargic and start to get sick from a severe Calcium Deficiency and eventually MBD. A strong, adequate UVB tube (T5 is best, as it doesn't need strapped to the underside of the mesh lid of the tank like the much weaker T8 tubes do) is the most important piece of equipment that you'll ever buy for her, as without 13-14 hours of strong, adequate UVB/UVA light a bearded dragon cannot survive. Again, without a proper UVB tube she is just excreting all of the calcium you're giving her out, along with all the other vitamins, minerals, and nutrition in general she's taking in from any food, and when you do start feeding her live insects again she's not going to be able to properly digest them or absorb any nutrition from them either. So the 2 main reasons that she's losing weight so quickly is #1) A totally inadequate diet for a 2 month old dragon, and #2) Either no UVB/UVA light at all because her light broke, or just inadequate UVB/UVA light from a bad bulb.