Let $MU$ be the unitary Thom spectrum, then it gives a generalized cohomology, so what is the coefficients $MU^*(point)$ like? Is it just the complex cobordism ring $\Omega_U^*?$
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what does the coefficients ring of generalized cohomology defined by the unitary Thom spectrum like?
It is complex cobordism. Therefore the coefficient ring is a polynomial ring on a generator in each positive even degree. 

