Python replace string pattern with output of function

I have a string in Python, say The quick @red fox jumps over the @lame brown dog.

I'm trying to replace each of the words that begin with @ with the output of a function that takes the word as an argument.

def my_replace(match):
    return match + str(match.index('e'))

#Psuedo-code

string = "The quick @red fox jumps over the @lame brown dog."
string.replace('@%match', my_replace(match))

# Result
"The quick @red2 fox jumps over the @lame4 brown dog."

Is there a clever way to do this?