TECHNOLOGY FOCUS - BIOLOGY - Preferred Method: The method is performed under one or more additional successive heterotrophic or phototrophic conditions. The method further comprises growing under one or more additional successive aerobic and anaerobic conditions. The microorganism strain is evolved for tolerance to furfural and acetic acid and the algae strain is evolved for tolerance to furfural. The mixture in step (i) is obtained from a biomass of plant or animal waste. The plant biomass undergoes pretreatment by acid hydrolysis and heat treatment to produce the mixture inoculated in step (i). The plant biomass is obtained from at least one of switch grass, corn stover, and mixed waste of plant. The microorganism strain has been evolutionarily modified to metabolize pretreated biomass targeted more efficiently. The evolutionarily modified microorganism strain produces one or more cellulases, hemicellulases and/or laccases so that the evolutionarily modified microorganism strain has greater capacity to metabolize cellulose and hemicelluloses with lignin as compared to the unmodified wild-type version of the microorganism. The microorganism strain has been evolutionarily modified by at least one method consisting of serial transfer, serial dilution, genetic engine, continuous culture (preferred) or chemostat. The microorganism strain has been evolutionary modified for a specific biomass plant. The method further comprises measuring cellulase and/or hemicellulase activity in step (ii) and/or the amount of fermentation products in step (iii), and depending on the quantity of the products in the supernatant, proceeding to the next step. The algae strain has been evolutionarily modified to metabolize the fermentation product, where growth of the algae strain is not inhibited by the presence of one or more of lignin, furfural, salts, cellulase enzymes and hemicellulase enzymes. The algae strain can grow in one or more conditions consisting of aerobic, anaerobic, phototrophic, or heterotrophic. The algae strain has been evolutionarily modified to heterotrophically and/or phototrophicaly metabolize as a carbon source. The fermentation product and algae strain can optionally metabolize as a carbon source soluble sugars released by a pretreatment of the mixture prior to step (i). The algae strain has been evolutionarily modified by at least one method consisting of serial transfer, serial dilution, genetic engine, continuous culture, or chemostat, where the method is continuous culture. The algae strain further metabolizes at least one of glucose, cellobiose, xylose, mannose, galactose, rhamnose, arabinose or other hemicellulose sugars, and waste glycerol. The algae strain uses acetic acid as a carbon source. The recovering step (v) comprises filtration-centrifugation, flocculation, solvent extraction, ultrasonication, microwave, pressing, distillation, thermal evaporation, homogenization, hydrocracking (fluid catalytic cracking), or drying of the algae strain containing fatty acids. The step (iv) further comprises culturing and growing the algae strain under conditions for extracellular and/or intracellular production of fatty acids, hydrocarbons, proteins, pigments, sugars e.g. polysaccharides and monosaccharides, or glycerol. The method further comprises, after step (v), direct transesterification of cells of the algae strain to produce fatty acids for biodiesel fuel. The direct transesterification comprises breaking the algae cells, releasing fatty acids and transesterification through a base or acid method with methanol or ethanol to produce biodiesel fuel. The conditions comprise aerobic and/or anaerobic growth. The algae is capable of metabolizing acetic acid glucose, cellobiose, xylose, mannose, galactose, rhamnose, arabinose or other hemicellulose sugars, preferably 5 and 6C sugars produced by the microorganism strain. Preferred Components: The mixture in step (i) further comprises at least one of furfural and acetic acid. The plant biomass comprises: lignin (5-35%); hemicellulose (10-35%); and cellulose (10-60%). The microorganism strain is an extracellular and/or intracellular cellulase, hemicellulase, and/or laccase enzyme producer microorganism. The extracellular and/or intracellular cellulase, hemicellulase, and/or laccase producer is prokaryote, bacteria, archaea, eukaryote, yeast or fungi, preferably Humicola, Trichoderma, Penicillium, Ruminococcus, Bacillus, Cytophaga, Sporocytophaga, Humicola grisea, Trichoderma harzianum, Trichoderma lignorum, Trichoderma reesei, Penicillium verrucosum, Ruminococcus albus, Bacillus subtilis, Bacillus thermoglucosidasius, Cytophaga sp., Sporocytophaga sp. or Fusarium oxysporum (preferred). The microorganism strain produces at least one fermentation product consisting of acetic acid, acetate, acetone, 2,3-butanediol, butanol, butyrate, carbon dioxide, ethanol, formate, glycolate, lactate, malate, propionate, pyruvate, succinate or other fermentation products. The algae strain is green algae, red algae, blue-green algae, cyanobacteria or diatoms, preferably Monalanthus salina, Botryococcus braunii, Chlorella protothecoides (preferred), Ostreococcus sp., Scenedesmus obliquus, Nannochloris sp., Dunaliella bardawil, Navicula pelliculosa, Radiosphaera negevensis, Biddulphia aurita, Chlorella vulgaris, Nitzschia palea, Ochromonas danica, Chlorella pyrenoidosa, Peridinium cinctum, Neochloris oleoabundans, Oocystis polymorpha, Chrysochromulina sp., Scenedesmus acutus, Scenedesmus sp., Chlorella minutissima, Prymnesium parvum, Navicula pelliculosa, Scenedesmus dimorphus, Scotiella sp., Euglena gracilis or Porphyridium cruentum.    TECHNOLOGY FOCUS - ORGANIC CHEMISTRY - Preferred Components: The cellulase is endoglucanase, exoglucanase, and beta -glucosidase, hemicellulases or optionally laccase. In the mixture, The biomass inoculating comprises at least one of cellulose, hemicellulose, and lignin. EXAMPLE - A plant biomass material of chipped switch grass was subjected to pretreatment by acid hydrolysis (sulfuric acid 0.5-2%) and heat treatment (120-200 degrees C). This mixture contained cellulose, hemicellulose, lignin, furfural, and acetic acid. The mixture was inoculated with an evolutionarily modified microorganism strain of Fusarium oxysporum and an evolutionarily modified algae strain of Chlorella protothecoides. The strains were grown under aerobic-heterotrophic conditions, and then anaerobic-phototrophic conditions and then under aerobic-heterotrophic conditions. The microorganism and the algae were alternatively grown under heterotrophic and phototrophic conditions and the algae produced fatty acids. The algae cells and fatty acids were then recovered by filtration and cell drying. Direct transesterification was then performed on the dry cells (ultrasonication, membrane rupture, through a base or acid method with methanol or ethanol) to produce biodiesel fuel. Waste glycerol was also recovered and recycled. The resultant biodiesel fuel was then directly used in any diesel engine.