Keita, holding his thigh, was substituted in the first half of the fixture in Rwanda on Tuesday.
It has been reported that Mane suffered a broken left thumb while on worldwide duty with Senegal, with the forward injuring his hand in their Africa Cup of Nations qualifier against Sudan.
Senegal striker Sadio Mane sustained a suspected broken thumb in training before the Africa Cup of Nations qualifier with Sudan.
Liverpool said on Wednesday that forward Sadio Mane had undergone successful surgery on a hand injury he sustained while on worldwide duty with Senegal.
The extent of Keita's injury is now unknown but it is the latest set-back for Liverpool and another unwanted distraction for Klopp.More news: Sabarimala: Women devotees forced to turn back fearing violence
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Mane played the full 90 minutes in Liverpool's goalless draw with Manchester City before the global break but picked up an injury while training with Senegal in the lead-up to their clash with Sudan.
The three players are now doubts for Liverpool's league match at Huddersfield Town on Saturday.
And the Liverpool boss could only be concerned as star defender Virgil van Dijk pulled out of action with the Netherlands due to injury.
The injury problems are mounting for Klopp as Liverpool prepare for a busy few weeks as James Milner is another concern as he looks to overcome a hamstring injury but Adam Lallana is pushing for a place in the squad after recovering from a groin problem.
The Egyptian returned to Liverpool for treatment though his muscle strain is not though to be severe.