You did it right you layered, what you are making is really a compost bed you can plant in. Compost by itself does not have a lot of fertilizer and organic fertilizer is slow in releasing especially nitrogen.
Plants need a lot of nitrogen especially when they are small and growing. If the compost is not fully composted yet (it depends on the material that was used, it will also be competing for the available nitrogen.
Usually if you are growing organically, especially in the first three years, you need to supplement with the fertilizer. You can make manure tea or use fish emusion weekly if your neighbors don't complain. There are also some granular organic fertilizers that are available like 10-10-10, 8-8-8, complehumus, bone meal, blood meal, sustane ( fish based fertilizer).
Every year you will add another layer of compost to the lasagna bed and till in residues. If you plant beans inoculate them first cowpeas (black eyed peas are the best for nitrogen fixing. You won't really be eating the beans as you will till them in when they are about 6 weeks old, they will then release the nitrogen as the plant and bacteria decay and that nitrogen will be available to the following crop. Sow a nitrogen fixing crop at the end of the season as well to pump up the nitrogen for the next time.
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