Miracle Gro All Purpose Plant Food is a fertilizer product. What you want is a rooting hormone product. It doesn't appear that Miracle Gro Plant Foood has any rooting hormones in it but Miracle Gro does make a rooting hormone product. You don't necessarily need a rooting product but it may increase your chances of success. Just stick the cutting in some potting soil or water and wait for roots to grow.
I was thinking of doing something similar and found this blog on rooting raspberry plants. She did it without any rooting hormone, just put the sucker cane cuttings in moist potting mix and sealed them in a plastic bag for a month. Seemed to work out well as you can see in a follow up post here.