Since the chemical abundances of stars are the fossil records of the physical conditions in galaxies, they provide the key information for recovering the assembly history of galaxies. In this work, we explore the chemo-chrono-kinematics of accreted and in-situ stellar populations, by analyzing six M31/MW analogues from the HESTIA suite of cosmological hydrodynamics zoom-in simulations of the Local Group. We found that the merger debris are chemically distinct from the survived dwarf galaxies. The debris are [α/Fe]enhanced and have lower metallicity in the same stellar mass range. Therefore, mergers debris have abundances expected for stars originating from dwarfs that had their star formation activity quenched at early times. Accreted stellar haloes, including individual debris, reveal [Fe/H] and [Mg/Fe] gradients in the E − L z plane, where the most metal-rich (and [α/Fe]-poor) stars have formed in the inner parts of the disrupted systems before the merger and mainly contribute to the central regions of the host galaxies. This results in negative metallicity gradients in the accreted components of stellar haloes at z = 0, seen also for the individual merger debris. We suggest, therefore, that abundance measurements of halo stars in the inner MW will allow constraining better parameters of building blocks of the MW stellar halo. The MDFs of the individual debris show several peaks and the majority of debris have lower metallicity than the in-situ stars in the prograde part of the E − L z space. At the same time, non-rotating and retrograde accreted populations are very similar to the in-situ stars in terms of [Fe/H] abundance. Prograde accreted stars show a prominent knee in the [Fe/H] -[Mg/Fe] plane, reaching up to solar [Mg/Fe] -abundances, while the retrograde stars typically deposit to a high-[Mg/Fe] sequence only. We found that the most metal-poor stars ([Fe/H] −1) of the HESTIA galaxies exhibit between zero to 80 km s −1 net rotation which is consistent with the Aurora population recently noticed in the MW. At higher metallicities (up to [Fe/H] ≈ −0.5 ± 0.1) we detect a sharp transition (spin-up) from the turbulent phase to a regular disk-like rotation. Different merger debris appear similar in the [Fe/H] -[Mg/Fe] plane, thus making it difficult to identify individual events. However, combining a set of abundances allows to capture chemical patterns corresponding to different debris, which are the most prominent as a function of stellar age.