Logrono continued their dominance in the encounter and found another breakthrough five minutes later through Valeria Pascuet.
Five minutes from the half-time break, the Ghanaian midfielder found herself in a good position and notched her second of the match for the hosts after firing past goalkeeper Andrea De la Nava.
Asantewaa, who was in action for 82 minutes before being replaced by Lorena Valderas, has now scored two goals in 12 appearances for Gerardo Leon s team this season.
Equatorial Guinea s Boho and Cote d Ivoire s Rebecca Elloh were involved for the duration but South Africa s Nothando Vilakazi only lasted for 27 minutes on her second start for Logrono.