The first image does not appear to show a soil at all, but a 'needle carpet' or 'carpet of needles'.
For examples of the term in use, see here: in describing Hemlock Forest in Nova Scotia
The forest floor is typically needle carpet with low moss coverage
or talking about Peat Bog restoration
One year later, Sphagnum cover had increased, with S. cuspidatum
present in flooded ditches, S. capillifolium and S. recurvum in the
damper microsites formed by the plough furrows, and S. tenellum
colonising some areas of bare peat and of the conifer needle carpet
which covered the previously forested ground (Brooks and Stoneman,
Your second example is, again, barely soil at all, it looks to have been subject to erosion, from walkers and water flow. It has a high mineral/rock content and next to no humous or biological matter. Looking to the side where there is vegetation, I would expect that this is at altitude, where the growing season is shorter, and a thin, fragile topsoil layer has been lost - exposing the stony subsoil.
Soil develops in layers, biological matter is in the upper layer where worms and insects move, plants grow and leaf litter falls (but leaf litter isn't part of soil until it has begun to decay and be incorporated).
Activity of roots and soil fauna mix and mingle the biological matter with the mineral layer which is formed from decaying bedrock, or which has been deposited by geological processes.
Soil therefore has 'horizons' defined by the degree of mixing of mineral and biological elements.The soil shown would probably be below the topsoil and therefore be 'regolith'
Regolith on Earth originates from weathering and biological processes;
if it contains a significant proportion of biological compounds it is
more conventionally referred to as soil. People also call various
types of earthly regolith by such names as dirt, dust, gravel, sand,
and (when wet) mud.
Note that 'regolith' is a technical term and most people wouldn't use it. As the wikipedia article notes people use much looser terms. Not all terms are used across all forms of English either. A British English speaker would not call soil 'dirt' unless it has been transferred to a surface or other location from which it then needed to be cleaned. ie It's soil in your garden but dirt on your shirt.
Personally, as a British English speaker, I would call the exposed soil in the second image 'bare earth', and only describe it as 'mineral' or 'without organic matter' if there was a pressing reason to be more specific.