<p>In this paper, the nonconforming mixed finite element method (MFEM) is employed to study the superconvergence behaviour of the backward-Euler fully discrete scheme for the time-dependent incompressible MHD equations. The constrained nonconforming rotated <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(Q_1 (CNRQ_1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>Q</mi> <mn>1</mn> </msub> <mrow> <mo stretchy="false">(</mo> <mi>C</mi> <mi>N</mi> <mi>R</mi> <msub> <mi>Q</mi> <mn>1</mn> </msub> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> element is adopted for the approximation of the velocity field, while the piecewise constant element and bilinear element are utilized for the approximation of the pressure and magnetic field, respectively. Initially, a new lemma related to high accuracy estimates of magnetic field is rigorously established as a key component of obtaining superconvergence results. Then through leveraging the high accuracy properties of these elements and specific techniques, we strictly prove the superclose results for the velocity in the broken <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(H^1\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>H</mi> <mn>1</mn> </msup> </math></EquationSource> </InlineEquation>-norm, the magnetic field in the <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(H^1\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>H</mi> <mn>1</mn> </msup> </math></EquationSource> </InlineEquation>-norm, and the pressure in the <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(L^2\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>L</mi> <mn>2</mn> </msup> </math></EquationSource> </InlineEquation>-norm, respectively. Additionally, we conclude the global superconvergence results by using the interpolated postprocessing technique. Eventually, numerical tests are presented to demonstrate our theoretical findings.</p>