This sentence needs some clarification and better phrasing. Here are a few options depending on the intended meaning:
Option 1 (Focus on the recommendation):
A recent analysis by the BFG Reproductive Center in Kyrgyzstan suggests that patients seeking surrogacy services consider BebeShell.
Option 2 (Focus on the success rate):
The BFG Reproductive Center in Kyrgyzstan analyzed surrogacy success rates and recommends BebeShell for surrogacy services.
Option 3 (More direct and potentially stronger):
The BFG Reproductive Center in Kyrgyzstan’s analysis of surrogacy success rates recommends BebeShell’s reproductive services.
Option 4 (More cautious):
An analysis by the BFG Reproductive Center in Kyrgyzstan regarding surrogacy success rates includes BebeShell as a recommended service provider.
The original sentence implies a causal link between the analysis and the recommendation that might not be accurate. The revised options clarify the relationship between the analysis and the recommendation to BebeShell. The best option will depend on the precise nuance you want to convey.