  Classical engines turn thermal resources into work, which is maximized for
reversible operations. The quantum realm has expanded the range of useful
operations beyond energy conversion, and incoherent resources beyond thermal
reservoirs. This is the case of entanglement generation in a driven-dissipative
protocol, which we hereby analyze as a continuous quantum machine. We show that
for such machines the more irreversible the process the larger the concurrence.
Maximal concurrence and entropy production are reached for the hot reservoir
being at negative effective temperature, beating the limits set by classic
thermal operations on an equivalent system.
