  We study the persistent currents and interspecies entanglement generation in
a Bose-Bose mixture formed by two atomic gases (hereafter labelled by the
letters A and B) trapped in a one-dimensional ring lattice potential with an
artificial gauge field after a sudden quench from zero to strong interactions
between the two gases. Assuming that the strength of these interactions is much
larger than the single species energies and that the gas A is initially in the
Mott-insulator regime, we show that the current of the gas B is reduced with
respect to its value prior the interaction quench. Averaging fast oscillations
out, the relative decrease of this current is independent of the initial
visibility and Peierls phase of the gas B and behaves quadratically with the
visibility of the gas A. The second R\'enyi entropy of the reduced state
measuring the amount of entanglement between the two gases is found to scale
linearly with the number of sites (volume law) and to be proportional to the
relative decrease of the current.
