I would like a reference that calculates the rational homology of the unordered configuration spaces of the torus.
For ordered configuration spaces, see Fred Cohen's paper(s), including On configuration spaces, their homology, and Lie algebras ☆ F.R. Cohen E-mail 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), 7-13. (http://www.math.uni-bonn.de/people/cfb/PUBLICATIONS/rational-cohomology-of-configuration-spaces-of-surfaces.pdf)
Bezrukavnikov, R. Koszul DG-algebras arising from configuration spaces. Geom. Funct. Anal. 4 (1994), no. 2, 119–135. (http://link.springer.com/content/pdf/10.1007%2FBF01895836.pdf)