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Variable-free spectral range frequency comb (FC) and composite FC can be generated through dual-pumped microresonator (MR) which are very useful candidates for WDM communications. In such configurations, temporal cavity soliton (CS) rests on an oscillatory background and can exhibit enriched nonlinear dynamics. In this work, we investigate the super cavity soliton (SCS) states in MR under bi-chromatic pumping scheme. The SCS states are known to exist under the application of high pump power when the Kerr induced phase shift exceeds 2π. This leads to the observation of multi-stability and supports several exciting nonlinear states which we observe in dual-pump configurationakin to single-pump driven MR system under similar scenarios. We have performed numerical simulations of such systems based on the Ikeda formalism. We explore the possibility of optical lattice formation in dualpump MR configuration for the SCS states. We find that the optical lattice formation takes place conditionally for the case of SCSs. The analytical relation to describe the steady state of the optical lattice in the context of dual-pump driven MR is derived. We observe that the CS resting on a CW background allows the formation of an optical lattice. Even if the CS originates from chaotic MI region randomly, it gets slowly attracted to the nearest equilibrium position. However, we observe a breakdown of this optical lattice formation in case of CS existing on MI induced temporal background. Apart from indicating the caveats in the process of lattice formation with regards to the SCS states, our work will help to gain an insight into the process of the formation of cavity solitons from MI and the resulting phase of the generated solitons in the context of bi-chromatic pumping.
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