Tensor products of a Leibniz bialgebra and a quadratic Zinbiel algebra carry a natural Lie bialgebra structure, with the induced bialgebra being quasi-triangular if the original is.
Goldman, Invariant functions on Lie groups and Hamiltonian flows of surface group representations, Invent
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Lie bialgebras constructed from Zinbiel bialgebras and Leibniz bialgebras
Tensor products of a Leibniz bialgebra and a quadratic Zinbiel algebra carry a natural Lie bialgebra structure, with the induced bialgebra being quasi-triangular if the original is.