My current company has given me a project to showcase a wine project on their website. I have not created the site but I am putting it on their website's showcase (Since its done by the company). Will it be haram to do it?
it's difficult to say to be sure. But, of course, an expert a'lim should answer on it.
Meanwhile, I can suggest you a bypass to avoid the consequence; just in case you can't just leave the job due to your circumstances, or you can't avoid the task.
How much time or effort you have to give to do the task (make it on to website), calculate it. Let's say, 3 hours. Now, take your total hour-input in a month; usually it is 160 hours a month. Or, you can use weekly hours. Now, you can decide what you are getting paid for that 3 hours.
Donate (sadaka) that money to someone very bad financial condition (Muslim or non-muslim); but without any hope of reward from Allah (swt).
Please note again this is not an "answer", rather a bypass suggestion which is too big as an comment.
Allah (SWT) knows the best.