Authoring means collecting audio, video, menus, subtitles, etc into an interactive branching structure that will eventually become a playable DVD. You need DVD authoring software to make a playable DVD. Software such as Apple DVD Studio Pro, Sony DVD Architect, TMPG, Cinemacraft, Canopus Procoder, etc. are all DVD authoring software. There are also hardware encoders, but they are very expensive.
The part where the media type becomes important is when you burn the actual DVD and then duplicate more of them. Although things such as bitrate, software type, burn speed, and even whether or not you use a label or not all affect the compatibility of the final DVD with standalone DVD players, etc. ; the biggest factor is the media itself and the burner (AND it's firmware). I use a Pioneer 105 to burn them on the computer and if I have a lot (usually the case) I use a duplicating tower I built that consists of eight NEC ND-3520A burners.
TYG01, MXL RG02, and Ritek G04 have been the media ID codes that have had the most consistently compatible results with most or all DVD players (even older ones and Sanyo's which seem to be amongst the worst). They are all 4X media ID's and are virtually all unavailable now except for Arita Ritek G04. Even Ridata doesn't make Ritek G04 any more.
8X media has not been as compatible and certainly 16X media has been the worst. And that is after trying varying burn speeds. If you need a reasonably compatible 8X media get one with a media code of MCC 02RG20 (for -R) The generic Verbatim DVD-R sold by Newegg USUALLY has that ID code or YUDEN000T02 (for +R) SOME Fujifilm DVD +R media has this ID.
I understand why the industry has done it. It is marketing.......faster is supposedly better. To the average individual ripping movies that may work. To those of us trying to make a living selling single layer DVD's that play on every customer's player it is becoming a nightmare. DL media, by the way is very expensive and certainly not ready for prime time despite the fact that many burners can burn them. The media itself stinks regardless of media ID.