We report on the reentrant canonical semi spin-glass (SG) characteristics and controllable field-induced transitions in broken Kagomé symmetry of (GeMn)Co2O4. This B-site spinel exhibits complicated magnetic behavior in which the longitudinal ferrimagnetic (FiM) order sets in below the Néel temperature TFN~77 K due to uneven moments of Co2+ (↑ 5.33 μB) and Mn4+ (↓ 3.87 μB) which coexists with transverse SG state below 72.85 K. Such complicated magnetic behavior results from the competing anisotropic superexchange interactions (J
AB/k
B ~ 4.3 K, J
AA/k
B ~ −6.2 K and J
BB/k
B ~ −3.3 K) between the cations, which is extracted following the Néel’s expression for the two-sublattice model. Dynamical susceptibility (χac (f, T)) and thermoremanent magnetization M
TRM (t) data analysed by means of the empirical scaling-laws: Vogel-Fulcher law and Power law of critical slowing down, reveal the reentrant SG like character which evolves through several metastable states. The magnitude of Mydosh parameter (Ω~0.002), critical exponent zν=(6.7±0.07), spin relaxation time τ0=(2.33±0.1)×10−18 s, activation energy E
a/k
B=(69.8±0.95) K and interparticle interaction strength (T
0=71.6 K) provide the experimental evidences for canonical SG state below the spin freezing temperature T
F =72.85 K. Isothermal magnetization plots reveal two field-induced transitions across 9.52 kOe (H
SF1) and 45.6 kOe (H
SF2) associated with the FiM domains and spin-flip transition, respectively. Analysis of the inverse paramagnetic susceptibility χp
-1 (χp=χ-χ0) after subtracting the temperature independent diamagnetic term χ0(= −3×10−3emu mol−1Oe−1) results in the effective magnetic moment μeff=7.654 μB/f.u. This agrees well with the theoretically obtained μeff=7.58 μB/f.u. resulting in the cation distribution (Mn0.2
4+↓)A [Co2
2+↑]BO4 in support of the Hund’s ground state spin configuration S=3⁄2 and S=1⁄2 of Mn4+ and Co2+, respectively. The H-T phase diagram established by analysing all the parameters (T
F(H), T
FN(H), H
SF1(T) and H
SF2(T)) extracted from various magnetization measurements enables clear differentiation among the different phases of (GeMn)Co2O4.