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It is currently not supported that a scheduler can step on both batch and epoch. The scheduler you are linking to are also different from a standard scheduler since it both has an step method and a batch_step method, where lightning only supports the step method.
To get this working in lightning, you would need to split the scheduler into two new schedulers that both operate on the same optimizer: one that steps on batch and one the steps on epoch.

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@Alex17Li
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Answer selected by shreyaskamathkm
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