The phrase "desperate search" refers to a situation where someone is urgently looking for something or someone, often because they are worried, anxious, or really want to find it/them. Full definition
No more desperate searching for a lost pacifier in the dark or, worse, while trying to drive! (mamanista.com)
They're two actresses in desperate search of motivation. (freeweekly.com)
We are men who are in a constant, desperate search for new training challenges that push the limits of our physical, mental and emotional potential. (leanhybridmuscle.com)