You do need a multimeter first (£6 from Maplins, etc).
On 230v range, one lead on the earth connection and test each of the other wires. Hopefully only one will show up as live (230v). You need to connect up all of the COM terminals to this live feed.
The remainder will be the feeds to the various lights. Connect the remaining (wires one at a time ) to the live feed. Turn the power off each time for safety.
You can then identify which is which of the switched lives. These will connect to the L1 terminals of each switch.
Earth goes to the back box and the switch panel if its a metal one.
Note. I know its not finished, but, uncross those cables so they go straight into the box and fit rubber grommets in the holes of the box to protect the cable sheaths.