Offer your team a $100 gift card for every $1,000 shaved off in monthly cloud costs
Since cost is not really a "deliverable" for non-platform teams, this incentive doesnt go far. Especially after a few iterations of this are done, saving 1K is hard.
We did a short program(similar to a bug bash) for a couple of sprints to dig up all the improvements we can do to reduce to cost. This was early in our cost reduction journey. This did help us get a huge list of what we can do and we picked the most impactful items from this.