Interfacing ADC CS5532
I can't see your data pins between the MCU and ADC which limits my ability to respond, but I do see a few problems.  First, you need 10 Ohms between VA+ and VD+, not 10k Ohms.  Vref+ and VA+ need to be connected to the supply voltage, but that connection seems to be missing.  If you measure voltage on those pins do you see 5V?

Can you provide any information on register setup and how you're triggering the conversion?

A0 and A1 outputs are configurable, but the most common use case is to indicate which analog channel is being converted probably for signal conditioning reasons.