Rosegarden supports infrared remote controls for almost all transport functions. In order to use it, you need either the internal LIRC client, which is an optional feature at Rosegarden's compile time, or the KDE IRKick application (KDE LIRC daemon) that you can find in your Linux distribution's repositories. In both cases, you need to install and configure the LIRC server daemon. The exact details depend on your remote control and receiver, and you should refer to the LIRC web site for more information.
You can find more details online about the internal LIRC client configuration file and IRKick basics, at Rosegarden's web site.