This invention provides novel enzyme compositions using newly identified and isolated C. lucknowense enzymes, including CBH Ib CBH IIb, EG II, EG VI, β-glucosidase, and xylanase II in conjunction with previously identified enzymes CBH Ia, CBH IIa (previously described as Endo 43), and EG V. These enzyme compositions demonstrate an extremely high ability to convert lignocellulosic biomass (e.g., Avicel, cotton, Douglas fir wood pretreated by organosolv) to glucose. CBH Ia and IIb, which both have a cellulose-binding module (CBM) displayed a pronounced synergism with three major endoglucanases (EG II, EG V, EG VI) from the same fungus in hydrolysis of cotton as well as a strong synergy with each other. The enzyme compositions are effective in hydrolysis of the lignocellulosic biomass.