They were beaten by American duo Bethanie Mattek-Sands and Mike Bryan 6-0, 7-6 (7-3).
Mattek-Sands and Bryan will now take on Katarina Srebotnik and Horia Tecau in the semi-finals.
Aisam and Rodionova had reached the last-eight after defeating sixth-seeded Daniel Nestor and Kristina Mladenovic 6-4, 6-3 in the second round.
Read: Pakistan at Roland Garros: Aisam to play mixed doubles quarter-finals
Earlier, the duo had outplayed French pair Benoit Paire and Chloe Paquet 6-3, 7-5 in the first round.
Meanwhile, Lucie Hradecka and Marcin Matkowski of Czech Republic and Poland respectively beat 7-Timea Babos and Alexander Peya of Hungary and Austria 7-6(4) 3-6 10-8.
COMMENTS
Comments are moderated and generally will be posted if they are on-topic and not abusive.
For more information, please see our Comments FAQ