The best replacement for modifier is confounder.

The best alternatives to modifier are rated as following:
★★★★★  confounder
★★★★  adjective
★★★★  complement
★★★  misplaced modifier
★★★  gw modifier
★★  dangling modifier
★★  lt rt
★  mediator
★  as modifier
★  59 modifier
★  51 modifier
★  adjunct
★  potency eq2
  physique

Your alternative for modifier is not listed? Suggest!
Speaking about modifier, one probably shouldn't forget about participle.

Other search terms related to modifier and their ratings are:
★★★★★ participle
★★★ 96372
★★ royal purple
★★ cpt code
★★ 94640
97140
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modifier
confounder
adjective