I recently started completely covering our cages from 10pm until 7am to reduce crowing but it's actually not just accomplished that it has greatly improved the amount of eggs we are receiving! Could be a coincidence but I think it is working.
Squishy eggs are usually a calcium issue, if she is repeatedly laying two eggs in one day there shouldn't be much of a surprise that the second egg wouldn't be full formed. I had two girls last year who did the same and would lay a perfect egg in the morning and not fully formed egg in the...