We need sinusoidal waveform with DC offset. If output amplitude is more than given range then it is fine.
Actually, we need this wave form for electrochemical experiment.
2206 or 8038 function generator chip will make a square, sine and triangle wave over that kind of range. You can buy kits with either of those chips on ebay/aliexpress. The kit described in this link appears to include an offset adjustment, so should fit your needs: https://chinese-electronics-product.../p/icl8038-function-generator-kit-tested.html
There's plenty of documentation on the 8038 (or 2206); it's possible that the kits are not optimized or properly designed, so if something seems off, compare it with the reference designs in the data sheets.