Honestly the best thing to do is pull one or two and see.

And don't bother to plant veggies in full shade ever again. If they don't get at least 4 to 6 hours of sun a day - and some plants need MORE than that - they won't grow. Flowers are different - but anything you want to actually eat needs sun to have enough energy to put into storage, eg roots (carrots, beets) or fruits (tomatoes, watermelon).

But if the foliage looks good, the roots are probably coming along. Beets are what, around 60 or 70 days to maturity? They won't be that big yet anyway. Did you loosen the soil well before planting? As long as they're not planted in compacted soil, and they are getting plenty of sun, they should be fine. The failure with the other planting was that it wasn't getting any sun. The planting in the sun should be fine.

However keep in mind that the bulb of the beet is not really a root per se. OK, technically it is, but in practice you should think of it as more of a tuber. Think of carrots and beets as one-tuber-plants. It is the pantry for the plant, where all that energy it is taking in is being stored.

You really do not want to encourage root development in beets and carrots, because then you get lots of small fine side roots and not so much of the fat bulbous taproot. We eat the part that looks like a tuber, not the hairy little feeder roots.

So I'd stop with the "banana tea" or any other application intended to encourage root development. If it works, you'll just end up with a ton of feeder roots and hairy little ba... umm, beets.

Thank you for the help i really appreciate it...i am starting a new batch in a sunny spot with better soil and more space

Beets have to grow tops before the actual beet forms. It takes a while for this. If the little plants look good then they are growing and the beet will follow. You can also eat the beet tops that you pull to thin fixed like mustard/turnip greens.