If it does
The effect of the feat says:
When subjected to a spell that heals damage from the hit point, he heals 1 additional point of damage per level of the caster. In the case of healing effects, not spells. (as energy channeled or placed in the hands), she heals a number of additional points equal to the class level of the character performing the magical healing. This does not affect rapid healing or regeneration.
Both Lay on Hands and Channel Energy are supernatural effects that can heal the damage. There is nothing in their description that makes them anything special about how to classify their effect, nor are they classified as quick healing or regeneration.
As such, Glorious Heat would also benefit from Lesser Celestial Totem and would heal by:
- spell level + character class level hit points.
For the blessing of the fire god, the use of the skill seems to be involuntary and stronger than it should be, fortunately, it is limited to once per assault. But this seems valid from the rules as written, and the character would heal by:
- class level of the character + 1 hit points.
However, if both effects are used, I would not let you heal twice your level. Because the source the additional healing is the same (the power of anger), and the character would heal by: character class level + spell level + 1 hit points.
If he class that granted him the power of anger is the barbarian, he must replace character class level For your barbarian levels.
Keep in mind that to qualify for God's Blessing of Fire, the character must worship the God of fire (This information was removed from SRD), a specific deity for golarion that is worshiped by certain orc tribes (more information about the orcs of Golarion). The configuration book of the Belkzen campaign, Hold of Orc Hordes revealed that this deity is known as Sezelrian. Of course, nothing prevents your GM from converting this to any other configuration.