Usually lack of appetite in a hatchling or juvenile is tied to
>> poor UV (insufficient levels of of UVA will result in a lack of appetite)
>> temperatures ( too hot ==> heat stressed , too cold ==> very reduced metabolic rate ==> reduced appetite )
>> impaction (sand or other particle type or fibrous bedding ==> VERY BAD)
>> sharing tank with a sibling who is dominating and getting the lion's share of the food
>> can see other dragon in another tank who is stressing it
>> in appropriate feeder (too small usually)
>> photoperiod too short
>> cat stalking it (stressing it)
Unfortunately pet shops often sell very inappropriate stuff in their "Bearded Dragon Kits" , especially sand, 13W compact 5% or 10% UVB globes etc, mesh lids etc.
I suggest your work through this chart , it's likely the cause will poke out at you :
viewtopic.php?f=6&t=236150&p=1815390#p1815390
You will also get some good hints of appropriate feeders for a 2 months of hatchling here :
viewtopic.php?f=18&t=242393
At his age , he needs nearly entirely live insects in his diet , if he shows any interest in greens or salad it's a bonus (please don't obsess over his showing little or no interest in veg and salad greens for now , keep offering them daily and what is not eaten , use to gut load the crickets (this way he will get the greens and veg via his insects).