I do not know the exact needs of lycoris ideal growth
But I do grow lycoris radiata and few other species here in tropical climates. Here they proliferate slowly, never dormant and never blooms.
In the past in nontropical counyry, I noticed lycoris grown in pots in protected area, which were not exposed much to the different temps of winter cold and summer heat will not die down on summer, and will not blooms in autumn.
So I guess you need to expose them to natural temperature differences to induce flowering. Let them exposed more to summer heat till they die down... then wait for blooms in autumn.
If you grow them in pots. Perhaps try growing on garden.