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Trumpet vine or trumpet creeper, Campsis radicans is a rambunctious, fast grower. Evaluate whether trees or shrubs have grown in those 14 years such that the vine is no longer getting enough light to bloom. Soil that is too rich or fertilized may also result in green growth, not flowers. A couple shovels of compost as a top-dressing is all they need. If it is getting at least 4 hours of direct sun daily, try a radical pruning early next spring to rejuvenate it. More info here: https://www.gardeningknowhow.com/ornamental/vines/trumpet-vine/growing-trumpet-vines.htm

This is quite common with these plants, and sometimes can be corrected by tweaking the environment, or its feeding. This article will help you to understand why this happens: https://www.gardeningknowhow.com/ornamental/vines/trumpet-vine/trumpet-vine-no-blooms.htm

Can you include a photo? Do you mean that you cut the entire plant down to the ground, or do you mean that you had to cut a branch off? If you had to cut the whole thing down, then this can put flowering off for several years.

If it was just a branch cut, then should not stop flowering. Did you cut the stem because it was dying, or rotting? If this is the case, then there could be a fungal infection. Cutting it off will stop the spread of that particular area, but it will not kill the infection.

A photo and a little more detail will help me to pinpoint the problem.

It takes a few years for them to get going! I have my grandparents place and their years old trumpet vine. I started a piece of root in a large pot just to see if it would grow. It’s been several years to get it to grow and this year it bloomed. Love this vine!!!

This article will give you the information that you need: https://www.gardeningknowhow.com/ornamental/vines/trumpet-vine/germinating-trumpet-vine-seeds.htm

would look more to a fertilizer, or pH issue! Dolomitic lime, and and all purpose fertilizer will help condition your soil back to where it needs to be.

Here is an article for more information on care of the trumpet vine: https://www.gardeningknowhow.com/ornamental/vines/trumpet-vine/growing-trumpet-vines.htm