I was gonna install linux with a bootable USB drive. While filling forms in installing dialogbox, I choosed encrypt data and data encrypted and then a electric failure made my computer turned off and I booted again with my USB drive, but the hard disk's partitioned drives were'nt found. I think it was encrypted. I installed linux again encrypting my data and that was then I realized that I encrypted my data twice, I had no choice, I installed Linux and tried recover my data giving the password to decrypt, But Linux was unable & showed "Linux Unified Key Setup encryption is not yet supported."; Please help me to decrypt my data twice to recover them

The first thing is that, you don't say which distribution you're using, we can't guess. The second thing is that, if it really was encrypted twice, then that's not good for starters. As I'm not sure you could actually "decrypt it twice".

Perhaps you could post the following command using CODE tags;

So we can see which partitions you have and get a better idea of the situation.

Just use your back up - you do have a back up, don't you!

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My guess is that the data was never encrypted but since the OP mentioned power failure during the initial encryption attempt, perhaps the file system is corrupted where the data resides. Just a guess...