God is omnipotent and omniscient. Therefore, when He puts you through tribulations in life, does He know that you will endure to the end or give up eventually?

Since God is both omnipotent and omniscient, He knows who will endure to the end or give up during tribulations. His knowledge and power does not, however, mean that He is responsible for our actions. God sovereignly overrules our destiny without coercing it.