Quite obviously, old Ladas are a thing in Hungary, where roshake77 shot these two. According to him, these are a 1995 Lada 2105 and a 1991 2107. Maybe someone will tell us what the writing on the spoiler says.
Here’s how a similar Lada looks in the front:
These are Ladas from the Russian Great Brougham Epoch, which went on a long time there. These are all based on the original Lada 2101, which dates back to 1970 and was of course based on the Fiat 124, although with a number of significant changes to make them them suitable for the USSR, including a different OHC four. They were built until 2010.