How cold are your days? You could do like I'm doing...Outside during the day...in the garage when it freezes at night.

Not much fun...but it works. For now.

Thanks for the quick response!
I wish that I could put them out during the day, but it is 31*F here today with light freezing rain. I leave the house at 6am and don't get home most days til around 7pm, so mornings and evenings will be too cold for a while yet around here.

One choice is to get some 4 foot shop lights ,regular cool white bulbs are fine , no need for expensive grow lights.
And suspend these within a few inches of the tops of the plants. Run them 12 to 14 hours a day. This should keep the shoots from getting too stretched out and weak , should green them up nicely.
When you are ready to take them outside remember this growth will be very tender so take time to gradually get them used to direct sun , over the course of a couple of weeks.
Get enough shop lights so that all the plants get really good light.

I live upstate and have been putting my fig tree in my unheated basement over the winter for the past two years, but I don't give it any water during the winter. It still grows leaves in the spring.
Perhaps it is the water that is making the brebas form early on your fig tree. Maybe next year don't water it after putting it in the basemwnt.
Terry

I have them under gro lighs for most of the day now. This seems to have stopped the drop but now they are only growing at the top and are not filling out along the branches. Maybe that will happen when they get into a warmer environment, or should I prune the tops to encourage side growth?

If you have them under grow lights I would not prune them. The idea is to keep them from losing energy reserves until spring arrives. So there will be a few leaves on top, that are getting some light, and hopefully not too much will happen until the spring. I would prune after setting outside if I were you, since pruning could encourage more growth.

You'll want to prolong the dormancy period as long as possible until outside conditions will support strong, healthy growth. Keep the trees as cool as possible and water just enough to give the root-zone just a little moisture. Keep them dark and cool until at least mid-April. Do not let brebas form, or they will delay the onset of main-crop figs. If possible, keep the basement cooler, and, darker. Mid-January is no time for figs to start growing.

Figs that break dormancy too soon will just become weak. You need to control this, or you'll be in for a fight each year to keep these trees healthy and robust. This forum has all the information that you will need to know in order to solve this problem, you'll just have to find a way to duplicate the recommended solutions.

Maybe, if the trees are small enough and in containers, they can be stored in the unheated garage of a neighbor, or friend?

Hope this helps. Wishing you the best.

BronxFigs