  We investigate the cosmological implications of the recently constructed
5-dimensional braneworld cosmology with gravitating Nambu-Goto matching
conditions. Inserting both matter and radiation sectors, we first extract the
analytical cosmological solutions. Additionally, we use observational data from
Type Ia Supernovae (SNIa) and Baryon Acoustic Oscillations (BAO), along with
requirements of Big Bang Nucleosynthesis (BBN), in order to impose constraints
on the parameters of the model. We find that the scenario at hand is in very
good agreement with observations, and thus a small departure from the standard
Randall-Sundrum scenario is allowed.
