Having the weed fabric under your growing medium was bad advice. I would advise removing the compost, cardboard and fabric, relaying the cardboard and then the compost on top. It is early in the season for planting 4/6 of your beds so there is plenty of time for replanting. Perhaps, if planted just a few days ago, you can salvage your plants.
This might be a massive job depending on the size of the area and the amount of compost but you will have to remove it sometime and it will be much harder if you leave it to the end of the season when roots will have grown through the fabric – the voice of bitter experience!
I think that plants will grow as it is, as long as the compost is thick enough, but you need to decide on what is possible in the short term and best outcome in the long term.