First, the problem isn't in the three sides of each hip. The slopes seem to match, so fascias on three sides will too. They seem to be trying to get the fascias and overhangs to match by doing a 2 pitch on all three of the hip overhangs.
Visually, I would NOT try to make the fascia or soffit or even necessarily the overhang match all the way around. They are two different roof types and slopes, and sit on two different structures, one a box, and one framing and columns with a wide band of LVL's.
You can get the fascias to match, but not the overhangs, or the overhangs to match, but not the fascias.
The porch and hip structure is constrained by how low the LVL;s can be, so that raises the rafters with their smaller slope. To get their fascia to match the bulk of the building, it would need a larger overhang, and that's just what I would do. A wider brim on the lower hat. Then the fascia on the higher slope roof (Which has a smaller overhang, but the same height and size fascia), dies into the back of the hip roof. Here it is from the back:
You could call the detail they have, a "feature", but would have to clad it in metal. I still don't like it as well.
To get the overhangs, soffits and fascias to all match, without crossing like my sketch, the hip needed to be lower or the gable roof higher. I would have made the gable roof higher, so the hip ended into it.
Understand?
POSTSCRIPT: I showed this thread and my thumbnail to my wife Julie, and she quoted another thread from today...."What did you do with the money your mother gave you for art school?" ....I about fell out!
Bill