
sorgen für
to take care of
To look after someone or something; to take responsibility for someone's well-being or care.
Die Eltern sorgen für ihre Kinder.
The parents take care of their children.
to take care / worry
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to take care of
To look after someone or something; to take responsibility for someone's well-being or care.
Die Eltern sorgen für ihre Kinder.
The parents take care of their children.

to worry about
To be worried or think anxiously about someone or something; to feel fear or unease.
Ich sorge mich um deine Gesundheit, weil du so viel arbeitest.
I worry about your health because you work so much.

to cause
To cause or bring about something; to be the reason for a particular result.
Der überraschende Schneefall sorgte für ein Verkehrschaos.
The unexpected snowfall caused traffic chaos.
The verb 'sorgen' (to take care / worry) is the basis for the noun 'die Sorge' (worry/care). Depending on the context, 'die Sorge' can mean either 'Kümmern' (taking care, as in 'die Sorge für die Kinder' — care for the children) or 'Angst/Unruhe' (fear/unease, as in 'sich Sorgen machen' — to worry), just like the verb.
Seine größte Sorge ist, die Prüfung nicht zu bestehen.
His biggest worry is not passing the exam.
The meaning of 'sorgen' (to take care / worry) changes completely depending on the combination with prepositions and the reflexive pronoun. Always pay close attention to whether 'für' (for) or 'um' (about/for) is used and whether 'sich' (oneself) appears with it.
Er sorgt für seine kranke Mutter.
He takes care of his sick mother.
The construction 'sorgen für' + accusative means that you take care of someone or something and assume responsibility. It has a positive, active meaning.
Ein guter Gastgeber sorgt für das Wohl seiner Gäste.
A good host takes care of the well-being of his guests.
The reflexive construction 'sich sorgen um' + accusative always means that you are worried or concerned. It describes a feeling of unease or fear.
Die Großmutter sorgt sich um ihren Enkel, wenn er spät nach Hause kommt.
The grandmother worries about her grandson when he comes home late.
The phrase 'sorgen für' can also mean 'to cause'. You can tell whether it means taking care or causing something from the object. 'Für die Kinder sorgen' means taking care, while 'für Probleme sorgen' means causing problems.
Der laute Streit sorgte für Unruhe in der Nachbarschaft.
The loud argument caused unrest in the neighborhood.
to care / concern / languish
Sorgen für and sich kümmern um can both express taking responsibility for someone. Sorgen für places more emphasis on ensuring someone’s well-being or care, while sich kümmern um focuses more on personal attention and the necessary actions. Both forms are possible in many situations.

Die Tochter sorgt für ihre kranke Mutter und organisiert ihre Versorgung.
The daughter takes care of her sick mother and arranges for her care.
Die Tochter kümmert sich um ihre kranke Mutter und bringt ihr täglich das Essen.
The daughter looks after her sick mother and brings her food every day.