The Find Results Apply Changes plugin was created to do just that.
You can install it through Package Control's "Install Package" option.
Before using this plugin, make sure that you have UTF-8 encoding enabled using the menu:
File > Save with Encoding > UTF-8
Once installed, you can apply any change you made to a "Find Results" buffer back to the files:
By default, using menus is the only way to make it work. However, it is quite tiresome and doesn't save as much time as it does with a keyboard shortcut. You can set your chosen keyboard shortcut by adding a new line in
Preferences > Key Bindings - User
by adding:
{ "keys": ["ctrl+r"], "command": "find_results_apply_changes" },
Don't use CTRL+S as it will overwrite saving file shortcut.
Warning!: According to the author of the plugin:
Uses regions to allow you do multiline changes, but when inserting new
  newlines, will corrupt files if you commit more than once, this
  because the new newlines will shift the line numbers. Will also
  'corrupt' files if you add/remove newlines in other instances of the
  modified files. eg in another tab. To prevent corruption this packages
  will alert you and prevent most of these.
(This is a modified version of the description from the Find Results Apply Changes  Github page.)