We experimentally and numerically investigate chaos generation in a Mackey-Glass electronic circuit with two time-delayed feedback loops. We observe different dynamic behaviors when the two delay times are varied. The ratio of the two time delays is crucial for enhancing or suppressing the chaotic dynamics. We also investigate chaos synchronization in unidirectionally coupled Mackey-Glass electronic circuits with two time delays. Experimental and numerical results confirm that chaos synchronization can be achieved even when there are two time-delayed feedback loops. High-quality chaos synchronization can be achieved with high coupling strengths and parameter-matching conditions between the two electronic circuits.