"To support this endeavor" means to help or assist in a specific project or undertaking.
Sentences with «to support this endeavor»
We best support endeavors that seek such justice and mercy. (nakedpastor.com)
If you don't want to support that endeavor because you can't stare at a box on your shelf, then fine, but the comments really do help no one. (blog.us.playstation.com)
Historically, they're right — faith has prompted people to assist those in need for centuries, and governments have frequently supported these endeavors. (christianitytoday.com)