Drug discovery campaigns against COVID-19 lag far behind vaccine development, but given the low vaccine production rate and unfair distribution, there is still an urgent need to advance reliable and potent anti-SARS-CoV-2 agents. We aimed to identify novel and effective molecules with dual-target activity against SARS-CoV-2 main protease (M pro ) and RNA-dependent RNA-polymerase (RdRp). For this, we designed and evaluated the library of hybrid compounds based on pyrazine and 4H-chromen-4-one linked by amide bridges. The synthetic availability of the compounds ranged from 3.08 to 3.40, indicating that these compounds are easy to synthesize. According to in silico ADMET prediction, most of the compounds satisfied all rules of drug-likeness. Compounds CPC-2, 3, 4, 8, 10, 11-14, and 16 were CYP1A2, CYP2C9, and CYP3A4 inhibitors, whereas none of them inhibited CYP2C19 and CYP2D6 isoforms. All designed compounds were predicted to be well-absorbed in the GI tract but not blood-brain barrier permeant and not subject to active efflux.Molecular docking studies against SARS-CoV-2 M pro showed that compounds CPC-1, 6, 7, 8, and 10 could establish multiple H-bonds with the binding site residues. In the case of SARS-CoV-2 RdRp, compounds 6,8,13,14,and 16 had the most favorable binding orientations and could establish H-bonds, pi-cation, and salt-bridges with the binding tunnel residues and RNA. Compound CPC-6 turned to be the most promising candidate from the dual-action side since it had reasonable docking scores and MM-GBSA ∆Gbind values, and good interaction profiles for both M pro and RdRp.