What type of tissue is forming the soft packing around organs?

The soft packing around organs is connective tissue.

Connective tissue is a type of tissue that connects, supports, binds, or separates other tissues or organs. It consists of specialized cells that secrete fibers that form an extracellular matrix. The extracellular matrix is composed of collagen, elastin, and proteoglycans, which provide strength, flexibility, and resilience to the tissue. Connective tissue can be classified into different types based on its structure and function, such as loose connective tissue, dense connective tissue, reticular connective tissue, adipose tissue, and cartilage.