I can vouch for gingerbread- If you make a template out of either posterboard or some thick type of plastic in your logo-shapre, you can gently lay it on top of your rolled out dough and cut around it with a knife.
I usually do this on foil or parchment and then transfer the foil to my cookie sheet for baking.
If you try to lift up the cookie it will distort the shape.
If you want to make it out of gingerbread, I have a good recipe I am happy to share just pm me with your email address.
Happy baking
"If you reject the food, ignore the customs, fear the religion and avoid the people, you might better stay home."
~James Michener