[Hatem]

Plug Flow Digesters: Suitable for semi-solid to dry materials (like manure with bedding or dry crop residues), these digesters allow material to move slowly in one direction through the reactor. They’re often used on farms and can be scaled for community MSW projects.

[Joerg]

So, I presume that this question is then targeting the organic fraction of MSW, so organics extracted from a mixed MSW stream.
Besides Plug-flow AD high-solids batch AD is another process type that has been employed on such feedstocks.

Low-solids AD is also a viable process but it requires rigorous pre-treatment of the OFMSW to move it from a physically contaminated and inhomogeneous feedstock into a homogeneous and ‘clean’ bio-slurry ready for digestion.

A caution: do not only think about the generated biogas for beneficial use but also the end-use of the digester effluent. For example, it is prohibited in Europe to land-apply organics derived from a mixed MSW stream.