Hi Rachel,
I haven't got any direct experience to share with sprouted grains, but will put in my 2p worth regardless!
First I hope you're feeling better. If I were you and suspect the sprouts, then I would not eat more of them but dispose of them (see
https://permies.com/t/152718/composting/Thoughts-flour for some ideas of creative flour disposal). It may well be something else that has made you poorly. it is the season for norovirus, your system may well not be fully recovered from Covid, it could have been something else you ate.
The good news is that the grain sprouting was successful, and that you found the result tasty. My suspicion is that leaving the dehydrated sprouts in the fridge may have caused a problem. The humidity changes from opening and closing the door cause condensation on cold surfaces., That is why eggs are not refrigerated before purchase (or at all in my household): the condensation can lead to bacterial growth through the shells. I suspect that is what has happened in your case, especially if the other batch (treated identically) smelt dubious. They may have been better off if kept in an airtight container somewhere coolish like a cupboard rather than in the fridge.
Have some bland foods like rice pudding and drink plenty of fluids for a day or so until your digestion is happy again.
Thanks for sharing your experiments and I hope the next time is a better experience for you. I had to look up Farro, also known as emmer wheat.