The question looks a little different from previous post.
Hi I'm adding a new CU tommy basement feed from my current CU.
Could someone help me with the size cable I need to connect the two and what fuse I need in my current board to feed the new one.
The new CU will be used to feed two lights and two sockets.
If your intention is run a mini CU from the existing main CU, lights and sockets then:
*32A in main CU to mini CU with 20A or 16A for socket radial and 6A for lighting or
*20A in main CU to mini CU with 16A for sockets and 6A for lights
4mm cable should be sufficient for short distances.
Socket circuits would require RCD protection as will any cable buried less than 50mm within walls if not mechanically protected.
If cable for lighting circuit is surface mounted and for use in the cellar, my advise would be to exclude shared RCD protection of this circuit, so either use RCBO or MCB without RCD/RCCB.
This would then leave a lighting circuit, that can illuminate the cellar area where your CU is, this circuit would be free from nuisance trips from other circuits, therefore you can see to inspect the boards, if anything goes faulty elsewhere.
The advise to get a qualified electrician in from the start, that can install, notify, inspect, test and commission the installation is a very wise option to take, they may see things close up, that we cannot see from here.