There may be other names, the one I am familar with is Porte cochere
Definition of porte cochere Merriam-Webster
1 : a passageway through a building or screen wall designed to let vehicles pass from the street to an interior courtyard
2 : a roofed structure extending from the entrance of a building over an adjacent driveway and sheltering those getting in or out of vehicles
By way of further confirmation, here is the listing for the pictured property, Ivy Road House, Atlanta on the designer's website.
This distinctive painted brick Atlanta Residence was built to maximize its narrow lot by organizing the site with a circular drive that leads to a formal front entry and a porte-cochere that leads to a more informal side entrance.