are damage bonuses reactive to pets/turrets?

If for example storm touched activates (+XX% Lightning Damage) while my storm totem is already out, will it reactively increase its damage or any other damage? Or only for the ones placed after i get the bonus?

Not sure, but you can try to find out by testing on the combat dummies in devil’s crossing by the gallows. I want to say no - I think summons are instanced when you summon them.

problem is that the lightning damage range is usually so high its kinda hard to tell and for some reason i cant get the totems to attack the dummies

im especially looking at the +50% buff from savagery which seems huge for storm totem or heavy ordnance

Storm Touched just increases your lightning damage in 20% of cases. It “activates” as long as you have Savagery buff on you (to full effect even with 1 stack).
It seems you just dont understand what “X% chance for …” truly means.