as @Audrey mentioned Ionic is more of UI Layer and you need to take care of building your backend, and Meteor is full stack solution. Most of them had this opinion of why not combine these 2? and there came meteoric library. I tried it, it is good enough for typical apps when you are happy just using standard UI components from the library. There are some issues with compiling the app with library as well. So it is not very smooth. It is more of personal preference. But if you ask me, if you have previous experience in angular, I would recommend you to do Ionic. if you are fresh I would recommend Meteor. Meteor is quick to learn and the concepts are simple than angular(my perspective). And meteor has got good community support where you get many different things for your app in terms of packages which is great and helps you move fast.
There are some talks on people trying Meteor + Semantic Ui Meteor + Polymer - Material design Meteor + Famo.us
Philan James
Software Engineer | Linux Enthusiast