Does the QFX5130-32CD support QSFP56 and QSFP56-DD?

QSFP56 is increasingly becoming more common than QSFP28, specially for Server and Storage purposes, therefore, the urgency of a clear answer.

Yes, the QFX5130-32CD switch does support QSFP56 transceivers:

List of the officially supported transceivers for this platform.

However, keep in mind there's no direct QSFP56 option for 100G connections.

The QFX5130-32CD primarily supports 400gb through QSFP56, and there's some breakout configurations typically used for dividing those 400gb connections into lower speeds (such as 100gb) using AOCs or DACs. As for the 100gb connections, the switch doesn’t directly support QSFP56 transceivers for 100g.