First thing you need to do for this to work, is select the Vertices's on the side you want Changing!!! Not the side you want to transfer the attributes from.
Ok, now in your Transfer attributes Options.
Make sure that, Vertex position is ON, and Vertex Normals is ON.
Also make sure Sample Space is set to "World".
And, Mirroring is set to "X" (or desired transfer axis)
Then Apply!
This should do it.
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