Indent your code according to Fibonacci
05AB1E (legacy), 22 21 bytes

|εDgsðÛ©g-;LÅfOð*®J}»


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21 bytes alternative using the formula \$Fib(\frac{n}{2}+2)-1\$ instead of \$\sum_{i=1}^{i=\frac{n}{2}}{Fib(i)}\$ :
(Credit to @JonathanAllan's Jelly answer for this formula.)

|εDgsðÛ©g-;ÌÅf&lt;ð*®J}»


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Explanation:



|                        # Take the input split by newlines
 ε                  }    # Map each line to:
  Dg                     #  Duplicate the line and take its length
    s                    #  Swap so the duplicated line is at the top of the stack again
     ðÛ                  #  Remove all leading spaces
       ©                 #  Store the result in the register (without popping)
        g                #  Take its length as well
         -               #  Subtract both lengths from each other
          ;              #  Halve it, because they are multiples of 2 indented spaces
           L             #  Create a list in the range [1, n]
            Åf           #  Get the i'th Fibonacci number for each
              O          #  And sum them together
               ð*        #  Have that many space characters
                 ®J      #  And join them with the saved string from the register
                    »    # And finally print the mapped list with new-lines