When you look at a Soyuz, it seems like the descent and orbital modules are covered in some kind of fabric-like material. You can see wrinkles and it does not look like traditional metal as you might expect, for something that needs to survive reentry. Surely the heat shield takes the brunt of the heat load, but some heat clearly leaks over the edge to the sides.
The book "Soyuz: A Universal Spacecraft" by Rex Hall, David Shayler (2003) has the text on page 41:
Propulsion Module, ... Descent module, ... Orbital Module... materials used in the fabrication of these modules .... an aluminium alloy was finally chosen. The thermal insulation covering the modules consists of two layers - the upper layer consisting of an asbestos-cloth laminate, and the lower layer of 'a light, heat-insulating material'.
"Leaving Earth: Space Stations, Rival Superpowers, and the Quest for Interplanetary Travel" by Robert Zimmerman (2003) says at page 280:
Protecting Soyuz-TM's bell-shaped descent module were eight blankets of insulation material, each made of many layers of golden foil and an outer micrometeoroid layer.
(note, "golden foil" may describe polymer film, covered by thin layer of any metal)
There were several EVAs to fix some equipment under "vacuum-screen thermal insulation" (EVTI), like by Titov and Monarov (30.06.1988, 20.10.1988, page 254 of Leaving Earth) fixing X-ray telescope TTM "Roentgen" on Kvant-1 (Mir Space station). Or EVA on ISS by Expedition 17 (10-11.07.2008; Orlan spacewalk EVA-20A)
The outside of the Soyuz is covered in multilayer vacuum-screen thermal insulation. Its Russian acronym is ЭВТИ, long for экранно-вакуумная теплоизоляция or Shield Vacuum Thermal Insulation. It apparently is in many layers of metalized film and fiberglass cloth.
Its purpose is to protect the modules during ascent and orbit. It doen't seem to be designed to survive reentry: in photos of the descent module post touchdown, this material is not intact.