NEW YORK — It’s a race to be the best of the second-best. On Monday, Univision, the dominant Spanish-language network in the United States, will unveil a new name and look for its second-largest network, TeleFutura. The move is a direct shot at Telemundo, a ­rival for second place among domestic Spanish-speaking viewers.

The new name will be UniMas, and the network will include new content and a marketing campaign aimed at a younger, male Latino demographic. The rebranding of TeleFutura is also the latest effort by Univision to connect all of its properties under the Univision brand. The moves will be announced in New York City Monday, and the revamped network will debut Jan. 7.