Kayle's E - Righteous Fury does not apply the damage over time effect from Passive - Tooth
E - RIGHTEOUS FURY
Passive: Kayle's Basic Attacks deal an additional (x) magic damage on hit.
Active: Kayle increases her Attack Range by 400 for 10 seconds and the passive bonus is increased to (X) magic damage and APPLY SPELL EFFECTS on hit.
In addition, deals (X) magic damage and APPLIES SPELL EFFECTS on attack to enemies near her target.
UNIQUE PASSIVE - TOOTH: DAMAGING A MONSTER WITH A SPELL or attack steals 25 Health over 5 seconds and burns them for 20 magic damage. Killing monsters grants special bonus experience.
Kindle - Burn damage increases to 50 if you have bonus health from an item or effect.
UNIQUE PASSIVE - Tooth / Nail: Basic attacks vs. monsters deal 25 bonus damage and grant you 15% bonus Attack Speed for 2 seconds. DAMAGING A MONSTER WITH A SPELL or attack steals 30 Health over 5 seconds and burns them for 50 magic damage. Killing monsters grant bonus experience.
The splash damage from E - Righteous Fury does not apply the bonus damage to monsters from jungle items that deal burn damage over time. The effect is considered a spell effect and should be applying the effect, as E - Righteous Fury states that it applies spell effects from the splash damage.