I didn't realize you wanted to carry it on the bike. Not sure what to recommend for that. Good luck.
I've seen a lot of folks strap their pet carrier sideways across the bike, and just put the dog in the carrier through the door, close the door, and then add a bungee to ensure it stays closed.
Like this one: http://t.ly/zMeyw
Old fashioned KLR milk crate with bungee net over the top?
If you're wanting to really go all out, saw this on advrider
Pillion Pooch
The Pillion Pooch Motorcycle Dog Carrier the safest way to take your small to medium dog with you on a motorbike. Engineered for safety and designed for comfort with protection from the wind, rain, sun and snow. Your dog can freely move within the carrier to stand up and look out or lay down and...www.pillionpooch.com
is the dog already accustomed to riding on motorcycles? does it like it?
i'm slowly turning my mutt into an "adv dog". started out with him in a backpack that i wore facing forward.
he has graduated to a large tank bag that i've converted for his use. he likes riding, but so far i've kept it short and sweet.
he is too big (too long in the back) for most of the ones sold on amazon.
View attachment 252838
here he is taking an impromptu cruise around a field at Kubotamike's place. right now
i like having him in front where i can monitor how he's doing.
good luck!