Which homonuclear diatomic molecule or ion has the following MO electron distribution?
(σ1s)2(σ1s*)2(σ2s)2(σ2s*)2(σ2p)2(π2py)1(π2pz)1

I'm not very sure. Looking at the last 2 bonding orbitals in your list.. if they been filled, the answer would be really easy.
The Diatomic N2.
If the sigma2p were empty the answer again would be easy as B2.

Your electronic string is specifically calling for a filled higher energy sigma2p and missing electrons from pi2py and pi2pz.
The answer could be B2-- C2(2 photons absorbed) N2++.
None of the 3 selections are very likely.

I'm afraid I'm not much help except a guess at the B2-- I'd be interested in hearing the explaination of this problem from your instructor.