As mentioned in some other exchanges, you can use the Java console to bind the pages of two PDF files.
The first step is to combine pdf files into one document. I would do this by selecting both files, and then right-clicking on one of them. There should be an option "Combine supported files in Acrobat".
Then, once they are merged, open the merged file where you want to run the code
for (i = 0; i <= this.numPages / 2-1; i ++) this.movePage (this.numPages-1, this.numPages / 2-i-1);
Step-by-step details for running such code:
1) Open pdf.
2) Go to the second page. Performing this method will let you notice if a change has occurred. You do not need to take this step, but it helps.
2) Press Control + J
3) In the window that appears, I always go to the "View" drop-down menu and set it to "Script and console."
4) In the bottom window, replace the text that should read something like
"Built-in Acrobat EScript 10.0 Acrobat SOAP 10.0 Features"
with
for (i = 0; i <= this.numPages / 2-1; i ++) this.movePage (this.numPages-1, this.numPages / 2-i-1);
5) Press once. Pressing it again may run the code again (which you don't need).
6) Check that you have viewed pages to see if pages have been bound. If not, repeat step 5.
7) Now you are a Java master. Congratulations.