<p>A natural extension of a homogeneous geodesic in homogeneous Riemannian spaces <i>G</i>/<i>H</i>, known as a two-step homogeneous geodesic, can be expressed in the form <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\gamma (t)=\pi (\exp (tx)\exp (ty))\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>γ</mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo>=</mo> <mi>π</mi> <mo stretchy="false">(</mo> <mo>exp</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mi>x</mi> <mo stretchy="false">)</mo> <mo>exp</mo> <mo stretchy="false">(</mo> <mi>t</mi> <mi>y</mi> <mo stretchy="false">)</mo> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>, where <i>x</i> and <i>y</i> are elements of the Lie algebra of <i>G</i>. This paper aims to expand this concept to homogeneous Finsler spaces. We provide certain sufficient conditions for <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\((\alpha ,\beta )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>α</mi> <mo>,</mo> <mi>β</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> spaces and decomposable cubic spaces to possess a one-parameter family of invariant Finsler metrics that can be classified as two-step Finsler geodesic orbit spaces. Additionally, we present some illustrative examples of these spaces.</p>