When comparing Taskwarrior vs Moo.do, the Slant community recommends Taskwarrior for most people. In the question“What are the best cross-platform task apps?” Taskwarrior is ranked 2nd while Moo.do is ranked 11th. The most important reason people chose Taskwarrior is:
The command line interface puts powerful filtering expressions, context, annotations, tags, due dates, reoccurrence, and user-defined-attributes totally in your hands. It’s fast and low friction.
Specs
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Pros

Pro Command line interface
The command line interface puts powerful filtering expressions, context, annotations, tags, due dates, reoccurrence, and user-defined-attributes totally in your hands. It’s fast and low friction.
Pro Extensible
Taskwarrior has many front-ends, services, extensions, hook scripts, and capsules available. Taskwarrior keeps a list of contributed tools on their site.
Pro Lightweight and fast
Taskwarrior is written in the speedy C++ language.
Pro Tasks stored in plain text files locally
Future-proof and easily integrated with version control system. You never lose access to your data.

Pro Sync across devices
When used in conjunction with the Taskserver, it can sync tasks (conflict-free) across your Taskwarrior devices. This includes integration with Mirakel.

Pro Supported internationally
It has UTF8 support and is translated into many languages.
Pro Customizability
Taskworrior allows you to define custom attributes and reports to your needs.
Pro Self-hosted Taskserver
You can be in full control of your data.
Pro Agenda panel lets you see all your tasks
You can use tags like @next, @today, @tomorrow, and you will see all your tasks in agenda panel.
Pro Offline editor
Pro Very easy to get started with
Despite having many different features, Moo.do is extremely intuitive to use right from the start.
Pro Indefinitely nested lists of items
There is no limit to how many nested lists you can create. This gives you a lot of freedom structuring your ideas.
Pro Actively being developed
Pro Lets you view multiple panes
The multi-pane feature allows you to view lots of information on the same screen so there is no need to frequently switch between pages.
Pro Very fast to use
Very fast application which is useful when you want to brainstorm. No lags at all.
Pro Kanban
Kanban boards.
Pro Markdown
Markdown support.
Pro Multiple priority levels
You can quickly tag any of your content with one of the priority levels to help you stay organized and address the most important tasks first.
Pro Three different themes to choose from
You have three options (classic, outliner, and dark) for themes. The differences are specific to how your content is formatted (for example: how bullets are displayed, if at all). You can also toggle the "grayscale" option if you don't want your tags to be in color.
Pro Well designed interface
The design of the interface was well thought out. Despite the abundance of features, the interface is intuitive to navigate. It has a very clean, minimal design.
Pro Easily filter data using tags
You can #tag words anywhere throughout your notes in order to easily find them and keep similar notes organized.
Pro Turn your email into a todo list
Moo.do has an application for gmail that lets you fully organize your emails and turn them into a todo list. E-mails can be organized into different folders including what needs a reply, the priority levels, what is completed etc.
Pro Ability to zoom in/focus on a branch
Pro No limit on list items in the free version
Cons
Con Command line interface
A command line interface is a arguably overly verbose, consequently tedious, way to interact with a To Do list.
Con Interface can feel distracting
Moo.do offers a variety of features that can make for a distracted experience. Rather than being encouraged to focus on the task at hand, you may find yourself tempted to flip through other panes.
Con Undo / redo
Undo / redo can be buggy.
Con No API
Con No wiki-style cross references
Con Inability to add images to the outline
This is now possible
Con Currently lacks notifications for changes in panes
