I have a fig plant which is two years old?

Figs will ripen and mature when the tree is full of leaves. If you remove too many leaves the remaining figs will not mature. All you can do is prune only in the early spring before budding, and never remove new growth as the leaves are needed for maturing the fig. If the leaves are reduced due to lack of rain, or pruning the remaining figs will not ripen. Mixing finished compost by lightly scratching it into the soil will help but remember fig roots are very shallow. Do not dig in too deeply or you will hurt instead of help it. Small plants do not ripen figs very well. They will produce much better when the plant gets at least six feet tall.