The Rolls-Royce company was founded by Charles and Henry Royce in 1904 in Manchester, England, as a manufacturer of luxury cars. The Rolls Royce logo is composed of the letters "Rolls and Royce" above and below the double R monogram. The two founders Rolls and Royce, are represented by the double R monogram.
A serif called Souvenir Gothic URW T Regular is very similar to the typeface used for the double R and Myriad Semi Bold is most likely the font style used for the text-based logos on the right. Both are available as commercial fonts and you can view details about them here and here respectively.