  We present a combination of the bi-orthogonal orbital optimisation framework
with the recently introduced xTC version of transcorrelation. This allows us to
implement non-iterative perturbation based methods on top of the
transcorrelated Hamiltonian. Besides, the orbital optimisation influences
results of other truncated methods, such as the distinguishable cluster with
singles and doubles. The accuracy of these methods in comparison to standard
xTC methods is demonstrated, and the advantages and disadvantages of the
orbital optimisation are discussed.
