Hi there and
to the forums!
Your two birds look to be at a healthy weight. They should be eating a good amount of food (1.5 to 2 tsp. of seed per day each, in addition to veggies and pellets, ideally) per day.
Yes, they are moulting. There's nothing to worry about.
However, you should remove the nest-like thing they are perching on. Because you have a male and female budgie, you should be sure not to have any nest-like things in the cage which could encourage them to accidentally breed. Additionally, it looks to be made of rope or fabric, which can be very dangerous to budgies if they ingest it or they get their claws stuck in it.
Be sure to read through all of the forums' many budgie articles and "stickies" (threads "stuck" to the top of each subform) to ensure you're up to date on the very best of budgie care practices. If you have any questions after doing so, be sure to ask!
You should look through these to start you off!
Best wishes to you and your budgies!