Provided are isolated cellobiohydrolases comprising a modified Glycoside Hydrolase (GH) Family 7 catalytic domain, a GH Family 7 catalytic domain and a modified Family 1 carbohydrate binding module (CBM), or both a modified Family 7 catalytic domain and a modified Family 1 CBM. Such isolated cellobiohydrolases exhibit from 45% to about 99.9% amino acid sequence identity to amino acids 1-436 of SEQ ID NO: 1 or to amino acids 1-438 of SEQ ID NO: 2 and improved activity on process substrates. Also provided are genetic constructs and genetically modified microbes for expressing the isolated cellobiohydrolases, a process for producing the isolated cellobiohydrolases, cellulase enzyme mixtures comprising the isolated cellobiohydrolase and a process for hydrolyzing a cellulosic substrate with such cellulase enzyme mixtures.