The process is to create the Template in Project 1 and then to Save the Template as an XML file (from the Options Button in the Template Editor. You can then start a new project, create the reference surfaces and alignment, create the corridor and then create a Template. On creating the Template you select "From File Definition" and then browse for the Template that you saved out and it should just import. Having said that moving templates from one project to another is pretty limited and I dont typically do it too much because
1) If the Ref Surface for Existing in Project 1 was called Exiting and in Project 2 it was called Original Ground then as you import the Template into Project 2 it will create a new empty surface called Existing and try to tie to that but it is missing so you wont get any tie slopes. You can change the Reference Surface Original Ground name to match that of the Template and delete the empty surface and it will then of course work.
2) Width Tables and Slope Tables are lost - because we dont carry them because no two alignments will ever have the same Stationing and Width or Slope Table values (except if you are creating a copy of the first project which is a corner case - in that case you are better VCL out from Project 1 and VCL in to Project 2 and you will carry the Road and surface and alignments etc which will carry the Templates.
3) If your Template carries Tables that have connections to Reference Lines or 2D Lines or Shareable Slope Tables - those will also get lost in transfer.
So in reality the best you can put out into a Template are the physical surface elements (like Pave, Shoulder etc) and then after adding the base template to a new project start applying Tables and Slope Tables and Side slopes.
I have a planned set of improvements to Corridors that includes the ability to divide the Templates up into "Components" and then being able to define "Component Templates" that you can then import in Pieces to a new Project Template to build up a Template in parts. Template components would include eg Barriers, Curbs, Flow Channels, Median Islands, Edge Details etc. that you may need on different projects. I hope that we will get to start working on that after Dimensions.
It could be that your Template has some elements in it that "Cannot Be Carried" and that is what is stopping you moving it from One Project to another.
If you drop me a line with the Project and which Template you are trying to transfer I can take a look at it for you tomorrow.
I personally don't use this Template Transfer stuff too much - it can save a little bit of time maybe if set up correctly, but because roads are rarely the same I typically start from scratch on each project.
Hope that this helps