Can a drawer, from whom checks were stolen but failed to report the same to the authorities or the drawee bank, recover the value of the checks paid by the drawee bank on the forged checks which was stolen from the drawer?

No, the drawer cannot recover. He is the one which stands to be blamed for its negligence/predicament. (Security Bank and Trust Company v. Triumph Lumber and Construction Corp., G.R. No. 126696, Jan. 21, 1999)