I suggest to fix the feature which allows Succession players to play with a C19 TRI dandelion (~5b) and gain more stats than playing with a standard PEN dandelion (~20b).
Successions are, on average, better than their awakenings and they are even less expensive due to the fact stated above.
Many and many succession players do indeed use a TRI dandelion weapon. This looks clearly unintended and abnormal.
Awakening classes, instead, do need a good main weapon because they also use skills from the Main skill kit, and because main weapons have many good stats apart from standard AP (Accuracy, species damage). Awakening weapons, instead, are poor statwise, and only provide raw AAP, which is only considered by 30% when playing succession, and practically provide a very small extra benefit when going from TRI to PEN dandelion.
At the end of the day, Successions can play without a PEN dandelion but Awakening can't play without a PEN main weapon, and this helps increasing the gap between the two.
As the developer stated when successions were out, their goal was to make awakenings and successions equivalent, but this is not happening, and this is one of the reasons.

The best and quickest solution would be:

-Split the main hand accuracy to both main hand weapon and awakening weapon with the right scaling per enhancement level, keeping the difference in accuracy between kzarka, offin and blackstar weapons

I really hope they do something about this .. a tri dande c19 having 12 accuracy more than tet blackstar awakening is ridiculous

Yeah it's really dumb, that c19 tri is better than tet or pen for succ. But the issue is how do they fix it. 

The fix is easy.

-Split mainhand's accuracy to both mainhand and awakening. Problem solved, no cons.

Now:

PEN Kzarka amulet's accuracy: 200 --PEN Dandelion scythe accuracy: 0, C20 PEN Dandelion scythe's accuracy: 12, PEN blackstar scythe accuracy: 12
PEN blackstar amulet's accuracy: 212 --PEN Dandelion scythe accuracy: 0, C20 PEN Dandelion scythe's accuracy: 12, PEN blackstar scythe accuracy: 12 
PEN Offin amulet accuracy: 182 --PEN Dandelion scythe accuracy: 0, C20 PEN Dandelion scythe's accuracy: 12, PEN blackstar scythe accuracy: 12

After the fix:

PEN Kzarka amulet's accuracy: 100 --PEN Dandelion Scythe's accuracy: 100, C20 PEN Dandelion scythe's accuracy: 112, PEN blackstar scythe accuracy: 112
PEN blackstar amulet's accuracy: 112 --PEN Dandelion Scythe's accuracy:100, C20 PEN Dandelion scythe's accuracy: 112,  PEN blackstar scythe accuracy: 112
PEN Offin amulet accuracy: 82 -- PEN Dandelion Scythe's accuracy: 100, C20 PEN Dandelion scythe's accuracy: 112, PEN blackstar scythe accuracy: 112

or

-Make only TET/PENs garmoth-able.

or

-Remove accuracy from caphra levels on low gear enhancement level

These are great suggestions and not hard to implement.  Maybe splitting accuracy is a little "weird" (lack of better word atm) to me, but all in all,these are great suggestions to base a fix on.  I'm sure other suggestions could be considered too, one's not thought of yet.

Your suggestion of only TET and PEN being Garmoth'able sounds intriguing to me.  Can't get the Garmoth Heart benefits on a TRI !!

Bump this to the MOON.

EDIT:  By "weird" I don;t mean that it wouldn't work.  It's just seems "different" xD sorry, for bad wording, but I'm sure you know what I mean.  I think it could work.  Players want accuracy.  I also think removing accuracy from Caphra's enhancements on TRI and lower is a great suggestion as well.  Awesome post.

Thank you for your feedback, I also noticed something.

PEN dandelion C20 = PEN Blackstar stat-wise (accuracy, ap)
so TRI Dandelion C20 = TRI blackstar ? No, TRI blackstar awakening doesn't have accuracy.

Also

TET Dandelion c20 gets caphra stones upgraded into PEN dandelion C0 and their stats are supposed to be the same, but when you upgrade a TRI c20 or a TET c20 into a TET or PENawakening... YOU LOSE THE ACCURACY GAINED WITH THE CAPHRA STONES!

This is clearly abnormal

Like every things in this games, when a stuff its easy, people abuse it. We are the stupids in this situation whit a PEN dande c10+.

Succession is EZ mode (gearing).  Just the way it is.

why are devs taking forever to solve seemingly simplest things is simply beyond me. just remove accuracy gains from anything but pen caphras levels.

Problem: succession builds are more successful, with much lower silver budgets, than awakening builds

why?: succession can use cheap TRI awk weapons with affordable C19 for +12 accuracy and minimal AP loss, far cheaper than having 2 PEN weapons, so awk builds are far more expensive to make effective

solutions:

1 - Only allow Garmoth heart reform to TET/PEN, disallow Garmoth Heart on TRI

2 - Only give +accuracy on awk weapon caphra levels at PEN, remove from TRI/TET caphras bonus stats

3 - tweak the damage calculation so that succession abilities get a bonus from the awk weapon AP specifically, not from the TOTAL Awk AP on sheet, so that this would mean awk AP being lower by a little actually matters to a noticeable amount

4 - wildcard solution: add a special "Enhancement level Set Bonus": you get +1 all sheet AP if you have 3 TET weapons equipped, and +2 all sheet AP if you have 3 PEN weapons equipped.