Fungi reproduce by spores, which are produced by either sexual or asexual methods.
Agaricus belongs to the class Basidiomycetes. In basidiomycetes sex organs are absent, but plasmogamy occurs by fusion of two vegetative cells of different strains. The resultant structure is called basidium. Karyogamy and meiosis take place in the basidium producing basidiospores. The basidiospores are produced exogenously on the basidium.
Saccharomyces and Neurospora both belong to the class Ascomycetes. In Neurospora sexual spores called ascospores are produced endogenously in sac like asci (singular ascus).
Saccharomyces or yeast reproduce asexually by an asymmetric division process called budding.
Alternaria belongs to the class Deuteromycetes. They reproduce only by asexual spores known as conidia.