
verloren
lost
No longer findable; gone missing.
Ich glaube, mein Regenschirm ist im Zug verloren gegangen.
I think my umbrella got lost on the train.
lost
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lost
No longer findable; gone missing.
Ich glaube, mein Regenschirm ist im Zug verloren gegangen.
I think my umbrella got lost on the train.

lost
Feeling helpless, disoriented, or lonely.
Ohne ihre Freunde fühlte sie sich auf der großen Party völlig verloren.
Without her friends, she felt completely lost at the big party.

hopeless / doomed
Being in a hopeless situation; with no hope of success or rescue.
Gegen die Übermacht des Gegners kämpften sie auf verlorenem Posten.
Against the enemy's superior forces, they were fighting a losing battle.
'Verloren' (lost) is the past participle of the verb 'verlieren' (to lose). It is used as an adjective to describe the state that results after losing something.
Der verlorene Schlüssel wurde nie wieder gefunden.
The lost key was never found again.
To express that something goes missing, the fixed combination 'verloren gehen' (to get lost) is used very frequently. This describes the process of disappearing.
Pass auf deine Tasche auf, damit sie im Gedränge nicht verloren geht.
Watch your bag so it doesn't get lost in the crowd.
To express the feeling of helplessness, 'verloren' (lost) is usually combined with verbs like 'sich fühlen' (to feel) or 'sein' (to be). It then describes an inner state.
Nach dem Umzug in die neue Stadt fühlte er sich anfangs sehr verloren.
After moving to the new city, he felt very lost at first.
In the meaning of 'aussichtslos' (hopeless), 'verloren' (lost) is often part of fixed idioms. Examples include 'auf verlorenem Posten kämpfen' (to fight a losing battle) or 'Das ist verlorene Liebesmüh' (That's wasted effort).
Ohne Verstärkung kämpfte die kleine Einheit auf verlorenem Posten.
Without reinforcements, the small unit was fighting a losing battle.
lonely / remote
Einsam primarily describes the painful absence of companionship and social contact. In the same situation, verloren can additionally express helplessness and a lack of support. Someone who misses other people is einsam; someone who also does not know what to do feels more like verloren.

Ohne Freunde und ohne zu wissen, an wen sie sich wenden kann, fühlt Lea sich verloren.
Without any friends and without knowing whom she can turn to, Lea feels lost.
Ohne Freunde in der neuen Stadt fühlt Lea sich einsam.
Without any friends in the new city, Lea feels lonely.