I want to make a program in lua where I put the user puts several inputs and then press on a button and all these inputs are then printed in a certain format in a paper, How do I physically print a paper in lua ?
Accessing a physical printer and sending it a file to print is fairly complicated and is beyond the scope of what I've done with Lua so far, but I would suggest checking out this forum post.
Your best option might be to save the stuff you want to print to a text file (such as a PDF using a Lua to PDF library, there are several available with a Google Search, such as this one by cpressey or this one by jung-kurt) and then using C++ or some other language to send that file to a physical printer and print it. Microsoft has a pretty decent guide on how to do that.
Hopefully you find this helpful, have a great weekend!