Sorry if this next bit sounds demeaning, but I've no idea where you are missing things:
Ignore the color mod.
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So I bred these two to make a Child.
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So let us start with the Traits, I got somewhat lucky to get a 3 trait child (like his father) right off the bat. (~30% chance). Since both Strength I and StrongVitality I are on both parents, they combined to the higher tier II (out of III currently). Traits will always be randomized on what is grabbed (1 is guaranteed).
Status plays somewhat similarly, but not every stat is relevant for every class (monsters don't need conception rate, monmusu and slaves don't need cumshot time) you can see the Orc below doesn't have Conception Time listed but it will still be viable to pass on.
All stats that have a modifier will pass on to a child between the min and max+1, in this case we had a [-3 to 0], and a [+4 to +5], and got a -2 and a +4. Purple numbers will be a child that rolled the Stronger maximum.
As a note, the Player has a lot of hidden status, so if you have a boon or a bane as a player is nearly impossible to tell without extensive breeding with a neutral woman/sister/shortstack/oni. Luckily, you can tell cumshot time.