The type of carbon-containing compounds that include proteins and lipids are organic compounds.

Here's why:

* Organic compounds are defined as compounds that contain carbon, and are typically found in living organisms.

* Proteins are made up of long chains of amino acids, which contain carbon, hydrogen, oxygen, nitrogen, and sometimes sulfur.

* Lipids (fats, oils, waxes) are also made up of carbon, hydrogen, and oxygen.

Therefore, both proteins and lipids are classified as organic compounds due to their carbon content and biological origin.