Rukavytsya scored the winning goal in the 71st minute, after a pass by the substitute midfielder Dolev Haziza.
New Betis coach Manuel Pellegrini made his presence felt as his side defended much better than they did last season in their 1-0 win away to Alaves last week, while Valladolid were slightly unlucky to only draw 1-1 at home with Real Sociedad.
On the other table on Friday, Stuart Bingham topped the group by winning three matches without losing any frames.
The clash between last season's Premier League and Championship winners was the most eagerly anticipated match of the new campaign's first weekend, and the two sides duly served up a thriller at Anfield.
"These two tournaments came too close to each other for me this time," she added.
In men's 5,000m, Duo Bujie became front runner from halfway, but he was overtaken with two laps to go. On the final lap, Peng Jianhua emerged to win with 14:13.78, Qin Zhenfei and Zhao Changhong finished second and third respectively, Duo Bujie missed the podium with the fourth place.
Bas Dost (R) of Frankfurt vies with Amos Pieper of Bielefeld during a German Bundesliga match between Eintracht Frankfurt and Arminia Bielefeld in Frankfurt, Germany, Sept. 19, 2020. (Photo by Kevin Voigt/Xinhua)
The plan includes only personal tickets for locals, and alcohol is banned. Away fans are not allowed. Investigations will also be made into the effects on traffic, aerosols, fans arrivals, and departures.
Kuopio's Nigerian striker Aniekpeno Udoh got in front of Bratislava's goalkeeper Greif and had no trouble scoring from close range after a low pass from the right side.
BERLIN, Sept 17 (Xinhua) -- Quitting has never been an option for Belgian footballer Benito Raman.
The result sends Al-Hilal three points clear at the top of Group B with nine points, while Pakhtakor stay second with six points. The two sides face off again on Thursday. Enditem