Diauxic growth in bacteria occurs when:
When culture medium supplies two carbon sources with differing energy yields, growth pattern shows two exponential phases separated by brief lag, termed diauxie. After consumption of preferred substrate usually glucose, cells pause to reprogram transcriptome before second substrate utilization. Molecular basis is carbon catabolite repression. Glucose transport via phosphotransferase system dephosphorylates EIIA-Glc, which blocks secondary sugar permeases via inducer exclusion and inhibits adenylate cyclase lowering cAMP, so catabolic operons like lac, ara, mal remain uninduced because CRP cAMP
Ref: Brock Biology of Microorganisms, 16th ed., Chapter 7: Diauxic growth - Switch between carbon sources.