Lozano, also the president of the country's higher sports council (CSD), said the first division will be rebranded as "Liga Ellas" for the 2021-2022 season.
The federation's competitions committee fined the Argentine player for his actions after scoring in Barcelona's 4-0 win over Osasuna in the Spanish league on Sunday.
Rubiales was the only candidate after the withdrawal of former Real Madrid and Spain goalkeeper Iker Casillas.
LaLiga opener rescheduled as league and Spanish football federation clash over matches on Fridays and Mondays
LaLiga was set to begin with a match between Granada and Athletic Bilbao on Friday night, but the federation forced the game to be moved to the weekend because it opposes matches on Mondays and Fridays.
Former Real Madrid captain Iker Casillas no longer running for Spanish football federation presidency
Former Real Madrid goalkeeper Iker Casillas said Monday he will not run for the presidency of the Spanish football federation.
Copa del Rey: Spanish Football Federation heeds to Athletic Bilbao, Real Sociedad's request of playing final in front of fans
The RFEF said it agreed “wholeheartedly” with the two football clubs wishes for fans to attend the match.
Spanish league, football federation reaches tentative agreement ahead of bid for 2030 FIFA World Cup
Spain’s players’ association, which recently also has been at odds with the federation and the league, said it welcomed the peace deal
Coronavirus Outbreak: Lionel Messi, Sergio Ramos, Real Madrid, Spanish football federation pitch in with relief care as authorities battle COVID-19
Spanish Football Federation (RFEF) president Luis Rubiales has offered the country’s health service the national team’s lodging and some of its staff to help cope with the coronavirus crisis.
Former Real Madrid goalkeeper Iker Casillas will run for president of the Spanish football (RFEF) federation
Spanish Super Cup's format, relocation to Saudi Arabia caused by football's desire for money, says Barcelona's Ernesto Valverde
Valverde also questioned the merits of opening the competition up to Atletico and Real Madrid, who ended last season empty-handed
Few expected him to be replaced by Traore, who had reportedly closed the door on Spain to play for Mali, despite representing the Spanish under-21 side earlier this year.
The agreement allows Barcelona to match or exceed any offers for those players whenever the player wants to leave, Atletico agree to sell and an acceptable bid arrives from a separate club.
LaLiga: Barcelona's Ousmane Dembele banned for two matches for 'attitude of contempt', will miss match against Real Madrid
Ronald Araujo, a 20-year-old defender, and Gerard Pique both received one-match bans and will also miss the game against Eibar
LaLiga: Spanish Football Federation changes schedule for first three match-days despite league governing body's insistence on retaining week-day games
After the decision, the RFEF announced a new schedule of matches while La Liga released a statement saying the games would not be moved.
LaLiga: RFEF president Luis Rubiales blasts Spanish football league's decision to continue scheduling games on Mondays
RFEF president Luis Rubiales had promised in March to stop league games being played on Mondays as well as planning discussions about Friday matches/
Champions League: Real Madrid reject Mauricio Pochettino's claim club denied Tottenham permission to stay at their training ground
Tottenham are in Madrid for next week Champions League final and Pochettino suggested that Real Madrid turned down a request from the London club to stay at their training ground
LaLiga: Atletico Madrid striker Diego Costa suspected of concealing income from sponsorship deal to avoid taxes, say reports
The news comes a week after Costa was slapped with an eight-match ban by the Spanish Football Federation (RFEF) for insulting and grabbing referee Gil Manzano during the first half of Atletico's 2-0 defeat to Barcelona
The Spanish Super Cup will be expanded to four teams, with two semi-finals and a final all to be played outside the country in a new proposal.
La Liga: Real Madrid's Gareth Bale risks being banned for Barcelona clash after being reported for inciting Atletico fans in derby
Gareth Bale risks being banned for an upcoming Clasico against Barcelona after being reported by La Liga for inciting Atletico Madrid supporters.
Ronaldo bought a 51-percent stake in Valladolid in September, with the stated aim of establishing the team in the top flight after they were promoted