Though in most Avtaars Vishnu and Lakshmi have kids, Specially in haygreevas Avtaar , Lakshmi Worshipped Sada Shiva to have children with Hayagreeva. From them Haehai vansh came in to existence. Apart from others famous sons of Laksmi jee are Kardam , Prajabhoot and Chikleet. Meanwhile as per Agam and Scriptures Kaamdev is also son of Lakshmi and Vishnu. They have also adopted Prahalaad and Dhruva as there sons too.
Notably you won’t find children of any other gods because the central Goddess Parvati cursed all gods to never have offspring’s because these gods disturbed Shiva and her for their selfishness and impatience.
That’s why all gods offspring’s or Avtaars children are not worship worthy but sons and daughters of Mahadev are considered not only gods but Parabramha as per Vedas and worshiped heavily in Sanatana Without propitiating Ganpati, Guaree & kartik none Yagya Pooja ,Anushthaan ,Sadhna ,Mantra Jaap Yog Siddhi ,Tapas or any spiritual activity would render fruitless. By worshiping them at first before all gods ,all tasks are accomplished successfully.