Understanding astrophysical phenomena involving compact objects requires an insight about the engine behind core-collapse supernovae (SNe) and the fate of the stellar collapse of massive stars. In particular, this insight is crucial in developing an understanding of the origin and formation channels of the growing population of black hole-black hole (BH-BH), black holeneutron star (BH-NS) and neutron star-neutron star (NS-NS) mergers reported by The LIGO-Virgo-KAGRA Collaboration. To gain this understanding, we must tie our current knowledge of pre-SN stars properties and their potential explosions to the final NS or BH mass distribution. The timescale of convection growth may have a large effect on the strength of SN explosion and therefore also on the mass distribution of stellar remnants. In this study we adopt the new formulas for the relation between the pre-SN properties of the stars and their remnants from Fryer et al. 2022 in prep. into StarTrack population synthesis code and check how they impact population of double compact object (DCO) mergers formed via isolated binary evolution. The new formulas give one ability to test a wide spectrum of assumptions on the convection growth time. In particular, different variants of the formulas allow for a smooth transition between having a deep lower mass gap and a remnant mass distribution filled by massive NSs and low mass BHs. Because the nature of convection can affect the DCO mergers mass distribution, observations of these distributions can, in turn, be used to better understand the convection growth timescale in stars and their SNe explosions. In this paper we present distribution of masses, mass ratios and the local merger rate densities of DCO mergers for different variants of new remnant mass formulas. We test them together with different approaches to other highly uncertain processes: limit for pair-instability SN and RLOF stability criteria. We find that mass distribution of DCO mergers (mass of the primary 𝑚 1 , secondary 𝑚 2 , and their sum) up to 𝑚 1 + 𝑚 2 35 𝑀 is sensitive to adopted assumption on SN convection growth timescale. Between the two extreme tested variants of convection growth the probability of compact object formation within the lower mass gap may differ up to ∼ 2 orders of magnitude. The distribution of mass ratios of DCO mergers is significantly influenced by SN model only for our standard mass transfer stability criteria for which vast majority of BH-BH mergers are formed through CE phase.