No, our software will not detect your Android phone until and unless your phone is not Turned ON.
But there are few solution that you can follow to fix LG G flex White screen issue, follow the solution mentioned here that is to fix black screen problem – http://www.androiddata-recovery.com/blog/resolve-android-black-screen-of-death
May be this can help you!
You can also use Android Data Extraction module of Android Data Recovery software to restore photos and videos from your LG G Flex android phone.
Trying does not cost anything.
Best of Luck!