The degree of redox reactions in soil clearly depends on the level of molecular oxygen (redox potential), i.e. whether the soil is aerobic, partially aerobic or anaerobic.
"Accelerating redox" can involve either oxidation or reduction, so the contributing factors can be rather different depending on the direction of the change. As noted in previous replies, water saturation can be an important factor, and it is in turn related to exposure of the soil to atmospheric oxygen. As Anicet Beauvais noted, other important factors include degradation of organic matter, and possible presence of inorganic elements like S, Mn, and Fe. I think it is important to note that for all these materials, redox reactions are usually related to microbial activity. For these processes, the electron transfers that occur during redox changes may me related to enzymatic processes, so that oxidation and reduction may occur in environments that lack the chemical extremes (eg., high or low pH) that are found in envirrnments where redox reactions are the result of a purely inorganic process . Examples would be situations like industrial pollution, or acid mine drainage. For more typical soil environments, I suspect that water saturation and presence of organic matter are the most important factors. I'm attaching a reprint of an example of microbial redox processes that involve Fe, Mn.