The best replacement for modify is full control.

The best alternatives to modify are rated as following:
★★★★★  full control
★★★★  write permissions
★★★★  adapt
★★★★  change
★★★★  update
★★★  write
★★★  amend
★★★  full control permissions
★★  revise
★★  adjust
★  accommodate
★  alter
★  change mysql
  rescind
  vacate
  edit
  read execute
  write access
  write permission

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Speaking about modify, one probably shouldn't forget about ldifde.

Other search terms related to modify and their ratings are:
★★★★★ ldifde
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modify
full control
write permissions