I found this pretty impossible for myself to do in Versus so head to Practice Mode instead. Pick solo and choose whoever you want. For the CPU pick solo also but pick Alisa. As soon as it loads up press start to bring up the practice menu.
At the top should be "Mode Select" and it should say "Freestyle". Press it and go down one to change it to "Defensive Training". Now click on "CPU Setting 1" and hit "Record". You will now be in control of Alisa! Now press and it will start to record. With Alisa press Up/Forward and + at the same time to make her hand her head over to you and let it explode and watch yourself get up.
After that press the start button and "CPU Setting 1" should have three blue bars on it. Press right twice to extend it to five. Press start to go back to training. Press + to make her start taking off her head and handing it to you. As she hands you her head you need to press + to hand it back to her. Do not press start while doing this or you will have to record again. The computer will keep doing this same attack until you press the start button.
Keep going until you have successfully put her head back on her body and then the achievement will pop.
Here is a video of this exact same thing, except they made her do the attack from her command menu: