A new puppy will often whine when they are on their own for the first few weeks. Wrap a towel around a hot water and place it in his bed. A ticking clock will also help.
Another idea to stop a puppy from whining when it is first away from its mom is to use a 'white noise' machine set on 'heartbeat.' It seems to soothe the pup and make it feel less lonely, and you'll get some sleep as an added bonus!
Put a ticking clock or a warm blanket with a new puppy. You will find that the new puppy will snuggle up to it. It is the closest thing to mum. Ahh!