Recent top quark production results from the Tevatron

In this article, I review recent measurements of the production of the top quark in $p\bar{p}$ collisions at a centre-of-mass energy of $\sqrt{s}=1.96$~TeV in Run II of the Fermilab Tevatron Collider, recorded by the CDF and D0 Collaborations. I will present the Tevatron combination of measurements of the $t\bar{t}$ production cross section and its differential measurement, the first evidence for and observation of the production of single top quarks in the $s$-channel, as well the final Tevatron combination of the production of single top quarks the $s$- and $t$-channels. Furthermore, I will review the measurements of the forward-backward asymmetry in $t\bar{t}$ events, which can be experimentally uniquely accessed in the $CP$-invariant $p\bar{p}$ initial state at the Tevatron, and conclude with the measurements of this asymmetry in the $b\bar{b}$ system.