When proteins transport molecules in and out of the cell, it is called
passive diffusion
facilitated diffusion
active transport
endocytosis and exocytosis

The correct answer for the blank is-

facilitated diffusion and

active transport.

Facilitated diffusion is a type of passive transport (transport of solute from high area of concentration to lower area of concentration) that requires transport protein ( which work as transporters or channels for the transport of solute).

Active transport also requires transport proteins/ carrier proteins (which work as pump) to drive the transport of solutes against the concentration gradient. This process utilizes energy (obtained from hydrolysis of ATP) for the transport because solute move from high concentration to an area where their concentration is less.