What KPI's do you see product marketing and product management sharing?

I think adoption of the product ultimately is a Product Management owned goal. I actually believe most goals are owned by the Product Management team. It's up to the Product Marketing team to understand those goals and accelerate or go above what product thinks they can get.

Product Marketing should understand the baseline of that goal, and taking credit for the uplift from that baseline, and place their efforts towards the products that they can impact the most change in either customer or revenue growth. In the end, the Product Manager is responsible for their product and its adoption. Product Marketing can take a piece of it, but even what product marketing contributes will credit Product Management.

While it's great to have ownership of an adoption number or KPI, the truth is, that so much of this is influenced on if the product is ready for the market, it's not always wise to take on a KPI that you can't fully control. Set yourself up for success while you can, and that entails being honest on your contribution, and where you will actually affect change, vs. trying to own a larger metric than you can actually change.