Can they make a egg in the day care centre if theymr different genders and different Pokemon
Yeah.
So long as they are opposite genders and have a matching Egg Group, they can breed. The Species and type do not matter.
Yes, it is possible to breed Pokemon that are different genders as long as they are in the same egg group. Also, if you put a ditto (which is genderless) in the daycare, it should breed with most Pokemon.
If you want to find out more about egg groups:bulbapedia.bulbagarden.net/wiki/Egg_groups
I hope this was helpful!