Step 1: Recall the stages of anaerobic digestion.
Anaerobic digestion proceeds through the following stages:
\[
\boxed{
\text{Hydrolysis}
\rightarrow
\text{Acidogenesis}
\rightarrow
\text{Acetogenesis}
\rightarrow
\text{Methanogenesis}
}
\]
Step 2: Identify the final stage.
In the last stage, methanogenic archaea convert acetate, carbon dioxide and hydrogen into methane.
Hence,
\[
\boxed{\text{Methanogenesis}}
\]
is the final stage of anaerobic digestion.
Therefore,
\[
\boxed{(D)}
\]
is the correct answer.