My fastrace brand hub in the picture does not work. Since the pawls do not press back, I turn it in neutral while pedaling. The hubs are expensive compared to Turkish prices. Does anyone have a solution for this? Also, does anyone know the brand of the frame?

Pic Assist - https://www.bikeforums.net/g/user/587345

pawls look a little worn, but first try lube - remove the spring clips, clean everything then grease pawls etc. reassemble (youtube has videos). if the springs seem loose try and tighten them up a bit.

posting a pic of the entire rear hub , from a few angles, would sure help... the bike itself, and the other parts, are kind of irrelevant.

and i agree with andie on the clean/lube pawls thing... Be VERY Careful if you mess with attempting to re-arc that circular spring... once bent too sharply, they must be replaced.
a local bike shop may have a few circular springs stashed away.

the proper grease for freehub pawls is very light weight... thick/sticky grease may cause more problems than solve them.

Shimano Freehub Grease #Y3B980000 is specifically made for those pawls... it's VERY light weight grease.
it just takes a small amount... no need to over-pack the area.