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We determine branching fractions, cross sections and thermal rate constants for the dissociative recombination of CD₃CDOD⁺ and CH₃CH₂OH₂⁺ at the low relative kinetic energies encountered in the interstellar medium. The experiments were carried out by merging an ion and electron beam at the heavy ion storage ring CRYRING, Stockholm, Sweden.Break-up of the CCO structure into three heavy fragments is not found for either of the ions. Instead the CCO structure is retained in 23±3% of the DR reactions of CD₃CDOD⁺ and 7±3% in the DR of CH₃CH₂OH₂⁺, whereas rupture into two heavy fragments occurs in 77±3% and 93±3% of the DR events of the respective ions. The measured cross sections were fitted between 1-200 meV yielding the following thermal rate constants and cross-section dependencies on the relative kinetic energy: σ(E_cm[eV])=1.7±0.3x10^–15(E_cm[eV])^{–1.23±0.02}cm² and k(T)= 1.9±0.4x10^–6(T/300)^{–0.73±0.02}cm³/s for CH₃CH₂OH₂⁺ as well as k(T)=1.1±0.4x10^–6(T/300)^{–0.74±0.05}cm³/s and σ(E_cm[eV])=9.2±4x10^–16(E_cm[eV])^{–1.24±0.05}cm² for CD₃CDOD⁺