Let \(X\) be a smooth scheme with an action of a reductive algebraic group \(G\) over an algebraically closed field \(k\) of characteristic zero. We construct an action of the extended affine Braid group on the \(G\)-equivariant absolute derived category of matrix factorizations on the Grothendieck variety times \(T^*X\) with potential given by the Grothendieck-Springer resolution times the moment map composed with the natural pairing.