
sinkend
falling
Decreasing in value, amount, intensity, or quality.
Die Firma leidet unter sinkenden Verkaufszahlen.
The company is suffering from falling sales figures.
falling / sinking
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falling
Decreasing in value, amount, intensity, or quality.
Die Firma leidet unter sinkenden Verkaufszahlen.
The company is suffering from falling sales figures.

sinking
Moving downward or losing height, level, or position.
Das sinkende Schiff konnte nicht mehr gerettet werden.
The sinking ship could no longer be saved.

falling
Becoming lower in pitch, for example with a voice or a note.
Er beendete den Satz mit sinkender Stimme.
He ended the sentence with a falling voice.
'Sinkend' (falling/sinking) is the present participle of the verb 'sinken' (to sink/fall). It is used like an adjective and always describes an ongoing process or continuing action.
Die sinkende Nachfrage macht der Branche Sorgen.
Falling demand is worrying the industry.
As an adjective, 'sinkend' (falling/sinking) usually stands directly before a noun and is declined accordingly. It describes the noun more closely.
Trotz sinkender Temperaturen gingen die Kinder nach draußen.
Despite falling temperatures, the children went outside.
In the meaning of 'abnehmend' (decreasing), 'sinkend' (falling) is often combined with abstract terms. Common examples are falling prices, falling interest, or declining quality.
Die Partei kämpft mit sinkenden Umfragewerten.
The party is struggling with falling poll numbers.
When it is about downward movement, 'sinkend' (sinking) is often used with objects that change their height. Typical examples are a sinking airplane or the sinking sun on the horizon.
Die Passagiere des sinkenden Flugzeugs konnten gerettet werden.
The passengers of the sinking airplane were able to be rescued.
declining / retrograde
Rückläufig and sinkend can both describe a decrease in figures. Rückläufig sounds more statistical and usually indicates a recognizable trend or development. Sinkend states more directly that a value or amount is becoming smaller and is less specifically tied to trend analysis.

Seit Januar beobachtet der Händler sinkende Verkaufszahlen.
The retailer has observed falling sales figures since January.
Laut Monatsbericht sind die Verkaufszahlen seit Januar rückläufig.
According to the monthly report, sales figures have been declining since January.