Your going to get a 1001 answers to this unless you can show pictures of the appliances and ratings
I know kitchen units that are made to fit an oven and microwave in the same unit, but I haven't come across a manufacturer that has both fitted together as one appliance
Is sounds to me that someone has bodged the wiring of what you have fitted.
Ovens on their own don't need a 6mm cable if their wattage is below a certain level. But ''cookers'' that is an oven and a hob combined are normally connected on their own radial circuit that goes back to the consumer unit with a 6mm cable, or bigger if it is a range cooker.
Sounds to me that your set up at the moment was not connected by a qualified electrician.
Without looking at it and dependant on the load that your new appliances take, a double socket could be fitted to the 6mm cooker cable and the microwave and cooker could be plugged into that using a 13a plug on each appliance , once again that is dependant on their load, and especially the oven and only if that cable is only feeding those two appliance and has an isolating switch within 2m of them and a 32a fuse/mcb/rcbo in the consumer unit