Hallo once more,
if the court stopped your "Eilantrag"-procedure on the 3.8.20, then the 6-month-time to send you to Lithuania had to start from that day and will end 6 months later (if you don't give reasons to prolong this time to 18 months because of being away without excuse and not reachable for deportation). That means that you won't normally be deportable any more from the 3.2.21.
You made a new asylum application for your new born child which hasn't been decided yet. If you get a rejection, you can make an appeal with "Eilantrag" for the baby, which perhaps won't be negatively decided until the beginning of february. It is not possible to foresee how quickly the things will develop.
Im principle the new born children must share the fortune of their family. I know that there are positive decisions for new born children of people who have refugee status and residence permit in other EU-countries, but this is another situation, not Dublin, here the other rules work.
I don't know if the situation in Lithuania is worse as earlier because of Corona. Perhaps they have much economical problems which can have impact of the situations of refugees there. It can be the argument in the court for the appeal of the baby, in case you will make one. The baby is always a vulnerable person. And naturally you can provide new attests if the health problems of the parents after deportation can have an impact on the well-being of the baby.