First of all, the fact you are at the stage where people have already been lain off says to me that its too late to try to make a good impression now. By the point layoffs happen the company has already made an informed decision, and barring a miricle it isnt likely to change.
On the other hand the best advice i can offer to you will be to not let it affect your work. It will be easy to get disheartened and stop trying but if you work hard continuously and show that you are providing worth to your company it is more likely that you will be kept around. Of course this is something you have …