M+S rating really just has to do with the tread pattern. If you’re doing for an all-season you want a triple-peak rated or just get snow/ice tires. These will remain softer at low temperatures. If you have low tread, like it appears, then it doesn’t matter what type of tires you have. You’ll just have no grip.
M+S basically just means they look promising, it doesn’t actually mean they perform in snow at all, compound plays a bigger role, normal tires get really hard and loose all traction in the cold. The absolute best option is dedicated snow tires (3-peak rated), next best is “all weather” tires, which also have the 3-peak rating but are suitable to drive on year round. They’re not as good as dedicated snow tires, but way better than “all season” (M+S) tires.
Better tires are the only solution to this. Some tires just have M+S even though they aren’t good in winter. And I can’t tell from the picture if they are old or worn down.
These aren’t just tyres… They’re M&S tyres.
(Play Albatross by Fleetwood Mac in the background for full effect)
These look like worn run of the mill all season tires. Quality Winter tires with 8/32-13/32” of depth will solve this