You can inflict ailments either by repeatedly hitting an archfiend with elemental offerings, or by using an "hourglass" offering. You will know when the ailment has been applied because the enemy will be paralyzed within that element. For example, if you used Frost equipment then they will be incased in a giant block of ice. (Fire = flames, etc). You can apply the SAME ailment over and over for this trophy but all 5 times must be in the same mission.
I found it easiest to complete this trophy using Hourglass offerings. These apply an ailment both to you and the archfiend instantly when used. By rotating the L stick you can break free of the ailment before the archfiend and then apply another once they are free. Hourglasses can be made using the FUSE option or won as drops on some of the higher difficulty levels.
You can mix and match ailment types that you cause as well as hourglasses. I used 3 different hourglasses and caused 2 frozen ailments to complete this. The trophy will pop as soon as the 5th ailment is applied.