Step 1: The task.
We must pick the pair of correct statements about biofertilizers and microbes.
Step 2: Check statement A.
A says organisms that improve soil nutrient quality are biofertilizers. This is the right definition, so A is correct.
Step 3: Check statement B.
B says certain bacteria work anaerobically on cellulose and make a lot of methane, $CO_2$, and $H_2$. This is true for methanogens that produce biogas, so B is correct.
Step 4: Check statement C.
C says the anaerobic sludge digester bacteria make only hydrogen sulphide. That is wrong, because they make a mixture of gases, mainly methane, not just hydrogen sulphide.
Step 5: Check statement D.
D says wine and beer are made by distillation of rice. That is wrong. Wine and beer are made by fermentation, without distillation, and not from rice in this way.
Step 6: Conclusion.
Only A and B are correct, so the correct answer is "A, B". \[ \boxed{\text{A, B}} \]