Tableau Mobile doesn't currently allow you to see projects. However, I would post an Idea or see if one already exists. In place of projects, we recommend favoriting the vizzes you want to access most easily.
Shankar are you on iOS or Android devices?
On iOS, you can see projects by filtering to them, as in the video below. We are planning to bring this capability to Android as well.
Thanks for reaching out. I am a PM on tableau mobile team and looking for ideas to improve search experience on mobile. I was wondering if you would be open to talking to me to share your use-cases, and help me understand why you want different projects on mobile app. Please let me know and we can setup a time to talk.