What is the correct descending order in size for accipiters?

The correct order for the size of accipiters from largest to smallest is indeed Goshawk, Cooper's hawk, sparrowhawk, and then sharp-shinned hawk.

The goshawk is the largest of the accipiter family, known for its robust build and powerful wings, making it an adept hunter of larger birds and mammals. Following closely in size is the Cooper's hawk, which is slightly smaller than the goshawk but still larger than its other relatives. The sparrowhawk comes next and is known for its agility and smaller stature, designed for hunting small birds, particularly in dense vegetation. Finally, the sharp-shinned hawk is the smallest of the group, often found hunting in backyards or dense forests, primarily preying on small birds.

This size differentiation within the accipiter family helps not only in identifying these birds but also in understanding their hunting strategies and preferred prey.