Found these liek two hours ago, and since then I was trying to identify them for a good while, even tho I found very quickly one species that looked very similar both on pictures and after written description. But I wanted to make sure, and by the end I landed at a different species that I begin with, but close relatives.
I believe what I found are two Agaricus brunneofibrillosus' or Agaricus haemorrhoidarius'.
Two obstacles prevented me from positive identification, and led me to check on such species liek Agaricus pantherina, just to make sure I don't make a mistake. These two obstacles were: the coloration of the gills, which remained whitish, when they should be pink, or reddish, the other is the smell, it didn't have much particular, but should have a characteristic anise or almond smell.
However looking closer the picture Bernd can see there is a little pinkish coloration in the stipe at the cap and the gills.
I cut up the larger one, and the gills reddened, and lo, the smell, while not too strong, but got that anise flavor. The bad news is, that one was too old, it seems was eaten inside by maggots.
Cut in half the other one to see how it held up, and that is still good. So tomorrow, I'm gonna feast on that one.
I also sought help from a friend who knows the species, and he can tell if I'm wrong. I expecting reply tomorrow.