I think the same when I see "your subconscious". No, it should be "your subconsciousness"
But being 'conscious' of something is being aware of it; your 'subconscious' is the part of your brain 'below' your awareness (although it is true that it's also below your consciousness! So perhaps both would work)
But being 'conscious' of something is being aware of it; your 'subconscious' is the part of your brain 'below' your awareness (although it is true that it's also below your consciousness! So perhaps both would work)