This study investigates the higher-order topological superconductivity (HOTS) in periodically driven ferromagnet–two-dimensional electron gas–superconductor heterostructures with three unconventional pairing symmetries [$s_{\pm }$-, $\left(p_x+i{p}_y\right)$-, and $\left(s+id\right)$-wave ones], which demonstrates that in-plane magnetic field driving universally induces anomalous HOTS across all pairing symmetries. Majorana corner modes exhibit field-strength-dependent spatial localization, four-corner modes for the $s_{\pm }$-wave pairings and two-corner modes for the ($p_x+i{p}_y$)-, and ($s+id$)-wave ones. Most significantly, two distinct orientation-dependent phase transitions are unveiled. One is the transition from an intermediate state (featuring the coexistence of corner and helical edge modes) to a higher-order topological phase (two-corner modes) for the $s_{\pm }$-wave pairings; the other is the alternation between two distinct higher-order phases with different two-corner mode configurations and intermediate states for the $\left(p_x+i{p}_y\right)$-, and $\left(s+id\right)$-wave ones. The findings establish Floquet-driven unconventional pairing superconductor heterostructures as a versatile platform for controlling non-Abelian quasiparticles, opening avenues for designing topologically protected quantum devices through dynamical field manipulation.

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• Topological superconductors
• Floquet systems
• Two-dimensional electron gas
• Bloch-Floquet theorem