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In the framework of Relativistic MOND theory (TeVeS), we show that a latetime background $\Lambda$CDM cosmology can be attained by choosing a specific$F(\mu)$ that also meets the requirement for the existence of Newtonian andMOND limits. We investigate the dynamics of the scalar field $\phi$ under ourchosen $F(\mu)$ and show that the "slow roll" regime of $\phi$ corresponds to adynamical attractor, where the whole system reduces to $\Lambda$CDM cosmology.Comment: Major revisions made; Matching the version to be published in IJMP

A POSSIBLE LATE TIME ΛCDM-LIKE BACKGROUND COSMOLOGY IN RELATIVISTIC MOND THEORY