Using just awk you could do (I also shortened some of your piping):
strings -a libAddressDoctor5.so | awk '/EngineVersion/ { if(NR==2) { gsub("\"",""); print $2 } }'
I can't verify it for you because I don't know your exact input, but the following works:
echo "Blah EngineVersion=\"123\"" | awk '/EngineVersion/ { gsub("\"",""); print $2 }'
See also this question on removing single quotes.