The actual SoCs used on each type of core module are somewhat well hidden (no mention on the main website as far as I can see) but can be found through a bit of research:
Carrier board has some sort of ESP32-esque WiSoC, plus LTE daughter board is listed alongside the products. I can't find which exact SoC is being used though...
RPI-CM4 Lite: Raspberry Pi CM4 104000 lite (ARM Cortex-A72 quad-core, 4GB LPDDR4, WIFI 2.4 GHz, 5.0 GHz IEEE 802.11 b/g/n/ac wireless + Bluetooth 5.0, BLE)
A-06: A-06 Core module (ARM64-bit Dual-core Cortex-A72 + Quad-core Cortex-A53, Mali-T864, 4GB LPDDR4)
A-04: A-04 Core module (ARM64-bit Quad-core Cortex-A53, Mali-T720, 2GB DDR3)
R-01: R-01 Core module (RISC-V 64bit Single-core RV64IMAFDCVU @ 1.0GHz, No GPU, 1GB DDR3)