Mod(modulo) operation is not officially defined for peewee database query. To use the “MOD“ operator, we have to override the operator by ourselves.1
from peewee import *
from peewee import Expression   # the building block for expressions
from peewee import OP
OP['MOD'] = 'mod'
def mod(lhs, rhs):
    return Expression(lhs, OP.MOD, rhs)
After this, we can use the mod function directly as a peewee SQL query expression.
audios = (Audio
          .select()
          .where(mod(Audio.id, n_checker) == checker_id)
          .order_by(fn.Rand())
          .limit(n_records)).execute()