The sporocytes divide meiotically to produce haploid spores. Spores landing in a suitable environment germinate into new gametophytes. The sporophyte has no method for asexual reproduction short of the indeterminate growth of the sporophyte body in hornworts. Even that only increases the number of spores that can be produced by the one plant body. The gametophyte may reproduce asexually via gemmae in gemmae cups, bulbils budding from gametophyte surfaces, or fragmentation of the branching protonema.
Most books detail the biology of thallose liverworts and ignore leafy liverworts.
The leafy liverworts outnumber the thallose liverworts in the real world, so most books are not showing the most typical liverwort type to begin with. Moreover, most books use Marchantia as the example thallose liverwort. Among thallose liverworts, Marchantia is rather unique in having elongated and elaborated antheridiophore and archegoniophores. The liverwort thallus is generally a flattened body. These gametophytes are generally prostrate.