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In this study, assuming the Type-Y (flipped) 2HDM at the SM-like scenario asthe theoretical framework, observability of the additional heavy neutral Higgsbosons $H$ and $A$ is investigated through the signal process chain $e^- e^+\rightarrow AH \rightarrow b\bar{b}b\bar{b}$ at a linear collider operating atthe center-of-mass energy of 1.5 TeV. The assumed signal process is highlymotivated by the enhancements in the $A/H\rightarrow b\bar{b}$ decays atrelatively high $\tb$ values. Such enhancements result in the dominance of thementioned decay modes even for Higgs masses above the threshold of the on-shelltop quark pair production. Taking advantage of such a unique feature, severalbenchmark scenarios are studied. Simulating the detector response based on theSiD detector at the ILC, simulated events are analyzed to reconstruct the $H$and $A$ Higgs bosons. The top quark pair production and $Z/\gamma$ productionare the main SM background processes and are well under control. Resultsindicate that, the $H$ and $A$ Higgs bosons are observable with signalsexceeding $5\sigma$ with possibility of mass measurement in all the testedscenarios. Specifically, the parameter space region enclosed with the massranges $m_H$=150-500 GeV and $m_A$=230-580 GeV with the $A/H$ mass splitting of80 GeV is observable at the integrated luminosity of 500 $fb^{-1}$.

Search for neutral Higgs bosons decaying to $b\bar{b}$ in the flipped 2HDM at future $e^-e^+$ linear colliders