  Different models of universes are considered in the context of teleparallel
theories. Assuming that the universe is filled by a fluid with equation of
state (EoS) $P=-\rho-f(\rho)$, for different teleparallel theories and
different EoS we study its dynamics. Two particular cases are studied in
detail: in the first one we consider a function $f$ with two zeros (two de
Sitter solutions) that mimics a huge cosmological constant at early times and a
pressureless fluid at late times. In the second one, in the context of loop
quantum cosmology with a small cosmological constant, we consider a
pressureless fluid ($P=0\Leftrightarrow f(\rho)=-\rho$) which means that there
are a de Sitter and an anti de Sitter solution. In both cases one obtains a
non-singular universe that at early times is in an inflationary phase, after
leaving this phase it passes trough a matter dominated phase and finally at
late times it expands in an accelerated way.
