COLOR-OCTET QUARKONIA PRODUCTION .2.

We calculate the lowest order hadronic cross sections for producing co lored heavy quark-antiquark pairs in L=S=0 and L=S=1 configurations. S uch Q (Q) over bar[S-1(0)(8)] and Q (Q) over bar[P-3(J)(8)] states had ronize into psi(Q) quarkonia at the same order in the NRQCD velocity e xpansion as previously considered Q (Q) over bar[S-3(1)(8)] pairs. The ir contributions to prompt psi and Upsilon production at the Fermilab Tevatron bring the shapes of theoretical transverse momentum distribut ions into line with recent CDF measurements. We find that the best fit values for the linear combinations of Q (Q) over bar[S-1(0)(8)] and Q (Q) over bar[P-3(J)(8)] long distance matrix elements which can be ex tracted from the data are generally consistent with NRQCD scaling rule s.