To transport the ABAP report variant go to ABAP Editor (SE38).
Enter the name of the program, choose Variants radio button and press Display button.
In the ABAP Variants screen, go to menu Utilities –> Transport request
When you click on menu Utilities –> Transport request, it will call the SAP standard report RSTRANSP. You can also reach the above screen by just executing the report RSTRANSP in ABAP Editor (SE38). Enter the name of the program and variant name and execute (F8).
Select all the variants you want to transport and press continue.
Assign the variant to an already existing Transport request or create a new request.