```python
import numpy as np
from pyscf import gto, scf, dft, ao2mo

def compute_cis(mol):
    mf = dft.RKS(mol)
    mf.xc = 'b3lyp'
    mf.kernel()
    nmo = mf.mo_coeff.shape[1]
    nocc = mol.nelectron // 2
    nvir = nmo - nocc
    eris = ao2mo.kernel(mol, mf.mo_coeff)
    eris = eris.reshape(nmo, nmo, nmo, nmo)
    A = np.zeros((nocc*nvir, nocc*nvir))
    for i in range(nocc):
        for a in range(nvir):
            for j in range(nocc):
                for b in range(nvir):
                    A[i*nvir+a, j*nvir+b] = eris[i, nocc+b, j, nocc+a] - eris[i, nocc+b, nocc+a, j]
    w, v = np.linalg.eigh(A)
    return w, v

def compute_2e_integrals(mol1, mol2):
    mol = gto.mole.conc_mol(mol1, mol2)
    mf = scf.RHF(mol)
    mf.kernel()
    mo_coeff = np.hstack((mf.mo_coeff[:,:mol1.nao_nr()], mf.mo_coeff[:,mol1.nao_nr():]))
    eris = ao2mo.general(mol, (mo_coeff, mo_coeff, mo_coeff, mo_coeff), compact=False)
    return eris.reshape(mol.nao_nr(), mol.nao_nr(), mol.nao_nr(), mol.nao_nr())

def transform_integrals_to_MO_basis(eris, mo_coeff1, mo_coeff2):
    mo_coeff = np.hstack((mo_coeff1, mo_coeff2))
    eris_mo = np.einsum('pQRS,pP->PQRS', 
               np.einsum('pqRS,qQ->pQRS', 
               np.einsum('pqrS,rR->pqRS', 
               np.einsum('pqrs,sS->pqrS', eris, mo_coeff), mo_coeff), mo_coeff), mo_coeff)
    return eris_mo

def compute_JK_coupling(eris_mo):
    J = np.sum(eris_mo, axis=(2,3))
    K = np.sum(eris_mo, axis=(1,3))
    return J, K

def compute_coupling_term(J, K, xc_contrib):
    coupling_term = J - K + xc_contrib
    return coupling_term

# Example usage
mol1 = gto.M(atom='H 0 0 0; F 0 0 1', basis='cc-pVDZ')
mol2 = gto.M(atom='H 0 0 2; F 0 0 3', basis='cc-pVDZ')

w1, v1 = compute_cis(mol1)
w2, v2 = compute_cis(mol2)

eris = compute_2e_integrals(mol1, mol2)
eris_mo = transform_integrals_to_MO_basis(eris, v1, v2)

J, K = compute_JK_coupling(eris_mo)
xc_contrib = 0  # Placeholder for DFT XC contributions calculation
coupling_term = compute_coupling_term(J, K, xc_contrib)

print("Coupling term:", coupling_term)
```