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We investigate the possible sequels, for the hybrid compact stars consistingof nucleons, hyperons and three flavour color-flavor-locked quarks phase underglobal neutrality and chemical equilibrium conditions. The hadron equations ofstate are computed within the framework of energy density functionals based onthe relativistic mean field theory by employing two different modelparameterizations. The quarks matter phase of equation of state is computed byusing Quarks Quasiparticle model derived from a non-relativistic energydensity-functional approach. A plausible set of hybrid equations of state forsuperdense hadron-quarks matter is obtained and, which satisfies theconstraints provided by bulk nuclear matter, the observational data offrequencies and maximum Gravitational mass 2$M_\odot$ with their extractedradii, Keplerian limits, secular axisymmetric instability and limits of tidaldeformabilities from GW170817 binary neutron stars (BNS) merger. We obtainedstructural properties of nonrotating and rotating compact stars, theevolutionary sequences with constant baryonic mass star spinning down byelectromagnetic and gravitational radiations and, discuss the issues relatingto phase transition from hadrons to quarks matter phase. The internal structureof rotating star with observed spin down frequencies, exhibiting shrinkage ofsoft quarks core of compact stars are discussed for constant baryonic mass. Wepresent the theoretically computed limits of radii for the spin downconfigurations of hybrid stars corresponding to the recently observedmillisecond pulsars. We also present and discuss the calculated results fortidal deformability, $\Lambda$ and tidal parameters $\Lambda_1$, $\Lambda_2$ ofnon spining hybrid star which are consistent with the waveform model analysisof GW170817 BNS.

Structural Properties of Rotating Hybrid Compact Stars with Color-Flavour-Locked Quarks Matter core and its Tidal Deformability