Pauline, it's also called winter sowing and there's a whole forum about it here. I've done a fair bit of it and had great results. I think it would work just fine with lasagna method.

I am a big fan of dormant seeding. Do it all the time. Maybe because I am a lazy gardener or maybe cuz I like to imitate mother nature.

Winter sowing generally is defined as planting in covered containers, using seed starting mix, etc and placing the seeded containers outside during the winter. In the spring the containers must be 'managed'....covers opened and closed based on temps, watered, etc. Seedlings need to be later transplanted. I've gone this route too..but it is a lot more fiddling around. (Winter sowers everywhere will now want to beat me up! LOL) On the other hand, dormant seeding is planting the seeds directly into the ground very late in the fall when the temps are cold and there is no possibility of the seeds germinating before winter sets in. In the spring when air and soil temps warm...the seeds will germinate. If you put the seeds where you want the plants...no transplanting either.

I usually toss my seeds out in early November. You want to make sure you plant the seeds at a time when you are sure there will be no days above 45-50F. You don't want a warm spell to follow the seeding or some may germinate....not a good thing going into winter.
Jan

I have done both also- I found the extra work put into WS is worth the effort for those special plants you really want- the extra protection keeps winter drying and kritter damage/theft to a minnimum.
I will often shake out seeds from established plants onto prepared beds- and then forget to water- or pull as weeds- or something just as silly- I will also toss seed in the grass around the rail road tracks. Maybe someday something will take root and grow there.
I would think a Lasagna bed would not be much different than as established bed- unless- the lasagna bed is activly composting, or may start to compost... I can see a whole lot of loss of potential then!
Let us know how it works for you!
Julie