I would like a reference that calculates the rational homology of the unordered configuration spaces of the torus.

The calculation for evendimensional manifolds, and in particular the torus, is carried out by FelixThomas in their paper "Rational Betti numbers of configuration spaces." 


For ordered configuration spaces, see Fred Cohen's paper(s), including On configuration spaces, their homology, and Lie algebras ☆ F.R. Cohen Email the corresponding author Department of Mathematics, University of Rochester, Rochester, NY 14627, USA (J of pure and applied algebrac, 1995, availabe for free on line). For getting from ordered to unordered see this question. 


I would suggest the two following references: C.F. Bödigheimer, F.R. Cohen, Rational cohomology of configuration spaces of surfaces. Algebraic Topology and Transformation Groups, Springer LNM 1361 (1987), 713. (http://www.math.unibonn.de/people/cfb/PUBLICATIONS/rationalcohomologyofconfigurationspacesofsurfaces.pdf) Bezrukavnikov, R. Koszul DGalgebras arising from configuration spaces. Geom. Funct. Anal. 4 (1994), no. 2, 119–135. (http://link.springer.com/content/pdf/10.1007%2FBF01895836.pdf) 

