I got feedback from my manager that I can do more to increase the scope of my influence within the company, and this involves getting more recognition and visibility from leadership for my projects. How can I do this?
In general, you get more visibility and recognition by communicating and showing your work more.
People love demos! If you can, demo your wins in front of your team/org/company. If there's no formal mechanism for this, maybe you can propose a demo day every month/quarter or something. A Series B startup should be pretty tightly knit - There's a good chance this event could be a company-wide thing!
If you don't want to do a huge presentation, at least do a launch post/message in email/Slack/Workplace.
At Meta, pretty much any project run by a strong tech lead was very visible due to constant communication. This is when they would share a public post about their project:
Major milestones being hit
Launch (this can be split even further into A/B test and full launch)
Communication is great for alignment. Like in the Meta example above, there's no real downside to communicating a lot about your project. It will help keep people aligned and excited about your work.