You need a T-coupler for the drainpipe that comes out of the wall or the floor to attach to the two different-sized PVC drains coming out of the sinks. A T-coupler looks exactly like its name suggests: the vertical section of the T connects to the drainpipe for the septic or sewer system, and the horizontal sections stick out on either side for the sink drains to attach to.
Reducer connections are pieces that allow you to connect different-sized pipes. They are larger on one end and smaller on the other, which allows you to increase or decrease a pipe fitting, as needed, to attach to the plumbing of a house. With two different-sized sink drains, you will need reducer strips to adjust the size of the pipes that come from the sinks to the T-coupler.
One of the easiest types of pipes to work with these days is flexible PVC. This pipe material has sprung up as a result of the do-it-yourself movement, and rather than forcing a homeowner to use solid PVC pipes that require hacksaws and other equipment, flexible pipes are exactly as they suggest. They easily screw into the underside of the sink and can then be moved anywhere under the sink area to connect to the drain for the house. Flexible PVC connects to the reducers that, in turn, connect to the couplers. This allows you to mount two sinks at once, regardless of their drain size.
You still need to use cement and primer with flexible pipes, just as you do with solid pipes, when it comes to connecting the reducers to the flex pipes and the reducers to the T-coupler. You must first prime the outside of the male part and the inside of the female part then cement the same areas before sliding the male and female couplings together to make the connection. Once the cement dries, you can use the sinks.