Adobe Encore is not available for Linux but there are some alternatives that runs on Linux with similar functionality. The best Linux alternative is HandBrake, which is both free and Open Source. If that doesn't suit you, our users have ranked more than 10 alternatives to Adobe Encore and five of them are available for Linux so hopefully you can find a suitable replacement. Other interesting Linux alternatives to Adobe Encore are DVDStyler, Open DVD Producer, ManDVD and Bombono DVD.
Open-source HandBrake offers video transcoding, supporting MP4, MKV formats, 4K rendering, and lossless audio. It allows picture cropping, subtitle handling, encrypts DVD ripping, and operates efficiently offline.
DVDStyler is a cross-platform free DVD authoring application for the creation of professional-looking DVDs. It allows not only burning of video files on DVD that can be played practically on any standalone DVD player, but also creation of individually designed DVD menus.
It can do DVD authoring but it is very limited and feels a bit unfinished. It sort of is a good alternative in that it can be used for DVD menus and the like so it's the close in function, sort of, but it's like comparing drawing in Photoshop with drawing in Paint.
A modern, open source cross platform software to produce DVD images.
ManDVD is an application for creating video DVDs from a wide variety of video formats. Using this application, you can also create eye-pleasing menus with video, audio, and chapters.
Bombono DVD is a DVD authoring program for Linux and Windows. It is made easy to use and has nice and clean GUI (Gtk).
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Handbrake doesn't author DVDs or Blu-Rays like Adobe Encore does. I have no idea how Handbrake is listed as an alternative to Encore.