The organelle you're describing is the cell membrane (also known as the plasma membrane).

Here's why:

* Two lipid layers: The cell membrane is composed of a phospholipid bilayer, meaning it has two layers of phospholipid molecules.

* Proteins and carbohydrates: Embedded within and attached to the phospholipid bilayer are proteins and carbohydrates. These play vital roles in:

* Transport: Moving substances in and out of the cell.

* Communication: Receiving signals and responding to the environment.

* Recognition: Identifying the cell as belonging to a specific organism.

* Both plant and animal cells: All living cells, including those of plants and animals, have a cell membrane. It acts as a barrier between the cell's internal environment and the external environment.

Let me know if you have any more questions!