Good and evil are not symmetrical - not mirror images - because Good is positive divine creation; while evil is 'various ways' of being opposed to divine creation. Thus Good is primary, and evil cannot exist without Good.
(This is why I habitually capitalize Good, and make evil lower case - subliminally to emphasize their qualitative difference in kind.)
The reason that I have suggested considering evil as Luciferic, Ahrimanic and Sorathic is a matter of expediency - it need not reflect and actual categories or distinction in the real world. It is a (more, or less) useful way of understanding evil.
The reason for doing it was becuase Ahrimanic evil was not being recognised consciously as evil. I think most people spontaneously feel that Ahrimanic evil is indeed evil - i.e. the modern workplace and mass media makes people feel bad (e.g. afraid, resentful, despairing).
But they do not consciously recognize it as necessarily evil by nature and motivation because they do not understand that Good is rooted in God and divine creation; and even if Christians have become transfixed by ancient lists and exemplars of Luciferic sins (murder, torture, rape, arson, theft etc) which are not what it at issue in a totalitarian Matrix of omni-surveillance and micro-control.
OK so much for evil; but why divide and differentiate Good? I think that a categorization of Good ought to reflect actual, natural reality - rather than being merely expedient.
And this seems especially important in this Ahrimanic age, when we so often categorize to kill: categorize in order to destroy that which is alive, organic, conscious, purposive...
Lists of virtues, laws of behaviour... these Now (however it was in the past) function to short-circuit thinking from our real and divine self - and to make us bureaucratic functionaries, being instructed by checklists and flow-charts.
All language, and all concepts, are merely 'models' of real-reality; but we should only be categorizing Good in so far as this is really based-on the categories of real-reality.
Good is rooted in divine creation, which is rooted in love - so Good is ultimately a unity of motivation. For a Christian Love is Good and it is the single Good.
Indeed, the purpose of Jesus making possible our resurrection to eternal life is that we may each become able to contribute, each in our unique way - from our unite nature, to the single harmony of many unique goods - to help-make a creation that is always (but always differently and changing) Good.
But WmJas reminds me that (as we both know, from our acceptance of Joseph Smith's Mormon revelations) behind the integrated harmony of divine loving creation are Two divine beings: our Heavenly Father and Mother.
God is a dyad, and the single harmony of creating comes from the love of our Heavenly Parents; who are therefore, two qualitatively-different kinds of being that is Good.
In a sense Heavenly Father and Mother can each be understood (i.e. can be abstractly modelled in language) as what Wm terms Ahuric /Seeking-Good and Devic Avoiding-evil; or active versus passive* Good - or (as I now think of them) man-good and woman-good.
Mormon theology has it that sexual difference (male and female) is an essential characteristic of individual pre-mortal, mortal, and eternal identity and purpose. God the Father is not a self-sufficient 'monad' of Goodness. Instead - God is two kinds of Goodness.
Instead "God" is a dyad of Heavenly parents, a man and a woman. It is their love (and love is always between Beings) that is the cause of creation: thus all creation is loving-creation.
(I will now modify, summarize and expand on some comments from Wm Jas.)
This implies that there are two complementary types of good. No being, no person (not even Jesus) can fully embody both. And, as Wm says, Jesus was indeed an exemplar of positive, active Good - but not so for the negative, passive* kinds of Good (which are instead represented in Catholic Christianity by the figure of Mary his mother).
Since sexual difference is an essential pre-mortal characteristic. This difference comes before observable chromosomes, hormones, genitalia, motivations, abilities and behaviours. Sexual difference therefore reflects a fundamental division of primordial Human Beings - into promordial men, who are (insofar as they individually are Good) are orientated towards positive Good; and women who are orientated towards the avoidance of evil.
And that causal primary division of ultimate nature is usually reflected, or approximated, in the 'sexual dimorphism' of anatomy, physiology and behaviour of mortal incarnate humans.
(...Remembering that this mortal life is individually tailored for our unique personal learning requirements - so no specific generalizations apply universally.)
In sum: it is legitimate to state that really there are two qualitatively different kinds of Good - and that these are the two characteristic Goods of our Heavenly Parents. These are reflected in their Heavenly Children as we observe them - mortal men and women; and will be reflected in Heaven.
That is the reality - and we can then summarize, model, and in general try to capture these reality-differences in language - but these linguistic descriptions will never be more that partial and distorted representations.
The reality is in the distinction between the two persons of our Heavenly Father and Mother.
*Passive and negative are wrong terms - for reasons described in the comments. In truth, I think the distinctive complementary qualities of good in a man compared with a woman are irreducible; because this sexual difference of human Beings is primary (hence irreducible).