For purposes of this discussion, there are 2 types of DVDs. The kind that you want to play on any device, like a computer or a TV etc. For those, you would use iDVD or a similar DVD AUTHORING software to create a DVD like those that you would buy movies on. You put them in a player and they have a menu. You select PLAY or Select the title from the menu and they will play almost anywhere. Those DVDs have the TS files that you are describing. There are some programs like Wondershare and Toast Titanium that are able to take those TS files and play them, copy them, burn them to another DVD or convert them to another format. But, for the most part, they are for playing on your DVD player and viewing on your TV.
The other type of DVD would be a DATA DVD. They act like any other drive or thumb or flash drive or disc that you might have. For that, you do not need iDVD to author a DVD. You already have a Quicktime (.mp4, .m4v, .mov...) that you made your DVD From.
You can also use .wmv, .avi, mpg... or whatever format you need. See the suggestions above for software to convert your current file to others that someone may want to use. For example, all my work is done on a Mac and is in Quicktime formats. My employer utilizes a PC network and other departments sometimes want to put a video into a Powerpoint or they want to share a video on the network. Many times the Quicktimes don't play well with the PC network and applications. So, I convert them to .wmv . To do so, I convert my movies using Wondershare Ultimate. It costs some money but it is one of the most valuable programs I have ever purchased for my work. I can convert almost any format that I have or that someone sends me, to any format that I need or someone else might need. Including, I think, taking TS files to Quicktime or a Quicktime to a .wmv. Anyway, my point is, you can then take whatever file you have and put it on a DVD to distribute to others who might be wanting to play the file on their computers.
All you do is put a blank DVD into your DVD Drive and drag the file onto the DVD. Find the picture of a DVD on your Desktop or in your Finder Window and drag the file there and click the icon or folder. In the Upper Right, you will see the word BURN. Click that. You are now creating a DATA DVD. You can also put other files on the disc like scripts, notes, photos, documents.... and burn all those files together. The difference on this disc is that you CANNOT put it in your DVD player at home and play it. You would have to put it into a computer. Open the DVD and you will see all the files. Just like on your hard drive, memory stick, flash card.... You can click on the movie files and play them through Quicktime or other viewing software.