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Most likely it is a watering issue. There may be a gap in the soil that is keeping the water from getting to the roots or just too little water. Flood the place where they are planted to make sure that the soil is all filled in and then make sure they are getting enough water after that.

The flowers drop off after one day, but these should be replaced by new ones from the same stem. Could be your plants are suffering from some type of stress or pests issue? Here is an article that you may find helpful: https://www.gardeningknowhow.com/ornamental/flowers/lantana/lantana-plants.htm

Cut off the pods. These are seed pods and when these form, the plant thinks it no longer needs to flower as it has accomplished its goal. Plants flower so that they can reproduce. If you prevent them from reproducing, they will keep flowering in order to keep trying to make seeds.

Most likely it is a watering issue. There may be a gap in the soil that is keeping the water from getting to the roots or just too little water. Flood the place where they are planted to make sure that the soil is all filled in and then make sure they are getting enough water after that. The non-blooming is likely caused by stress, probaly due to the watering issue. Additionally, you can try adding some more phosphorus, such as bone meal, to the soil around your plant.

Here is an article that you may find helpful: https://www.gardeningknowhow.com/ornamental/flowers/lantana/lantana-plants.htm

You won't like this answer but deadheading lantana and preventing seeds will encourage more blooms. If there are no flowers now, I would trim the whole thing back a few inches and allow it to regrow. This is easier than trying to cut off each "branch." If your season is long enough, you may get another batch of flowers.

Lantana plants can be successfully rooted through cuttings.