Nach dem Training will ich nur kurz duschen und mein Duschgel wieder in den Schrank einräumen.

Because nach takes the dative case.

• das Training = nominative/accusative
• dem Training = dative

So:

• nach dem Training = after the training / after training

This is a fixed grammar pattern: nach + dative.

German main clauses follow the verb-second rule: the finite verb must be in the second position.

Here, Nach dem Training is placed first for emphasis or context. Once that happens, the finite verb will must come next, and the subject ich comes after it.

So:

• Ich will nach dem Training ...
• Nach dem Training will ich ...

Both are correct, but the word order changes because German keeps the finite verb in second position.

No. will here is the verb wollen, which means to want.

So ich will usually means:

• I want to
• sometimes I intend to

It is not the normal future auxiliary like English will.

So this sentence means something like:

• After training, I just want to take a quick shower and put my shower gel back in the cupboard.

Because after a modal verb like wollen, German uses the bare infinitive.

Common modal verbs include:

• wollen = want to
• können = can
• müssen = must
• sollen = should
• dürfen = may / be allowed to
• mögen = like

So you say:

• Ich will duschen.
• Ich will einräumen.

Not:

• Ich will zu duschen.
• Ich will zu einräumen.

Because both duschen and einräumen are infinitives depending on the modal verb will.

In German, when a modal verb is the finite verb in a main clause, the other verbs usually go to the end of the clause.

Structure here:

• Nach dem Training = time expression
• will = finite verb
• ich = subject
• nur kurz = adverbial expression
• duschen und mein Duschgel wieder in den Schrank einräumen = infinitive phrase at the end

So the two infinitives are:

• duschen
• einräumen

Both belong to will.

Yes, einräumen is a separable verb.

In a normal main clause with a finite form, it splits:

• Ich räume mein Duschgel in den Schrank ein.

But here it stays together because it is an infinitive after the modal verb will:

• Ich will mein Duschgel in den Schrank einräumen.

So:

• finite main clause → split: räume ... ein
• infinitive → not split: einräumen

Because this sentence expresses movement into the cupboard, not location inside it.

The preposition in can take:

• accusative for direction/movement
• dative for location

Here:

• in den Schrank = into the cupboard → accusative
• in dem Schrank = in the cupboard → dative

Compare:

• Ich räume das Duschgel in den Schrank ein.
  = I put the shower gel into the cupboard.
• Das Duschgel ist in dem Schrank.
  = The shower gel is in the cupboard.

Since Schrank is masculine, accusative changes der to den.

Here wieder means back or again, depending on context.

In this sentence, the most natural meaning is:

• put my shower gel back in the cupboard

So it suggests that the shower gel normally belongs there, and the speaker wants to return it to its usual place.

German wieder can mean:

• again = repeating an action
• back = returning something to a previous place/state

Here, back is the best fit.

kurz here is an adverb meaning:

• briefly
• for a short time
• quickly in the sense of just for a moment

So:

• nur kurz duschen = just take a quick shower

This is very natural German.

Examples:

• Ich telefoniere nur kurz. = I’m just making a quick phone call.
• Ich setze mich kurz hin. = I’ll sit down for a moment.

Good question. In German, duschen can be used without a reflexive pronoun.

So these are possible:

• Ich dusche. = I’m showering / taking a shower.
• Ich dusche mich. = I shower myself.

In everyday German, the version without mich is very common when the meaning is obvious.

So nur kurz duschen is completely natural.

Because Duschgel is a neuter noun: das Duschgel.

So the possessive changes like this:

• nominative/accusative neuter: mein Duschgel
• accusative masculine would be meinen

Here Duschgel is the direct object of einräumen, but since it is neuter, the form stays mein:

• ich räume mein Duschgel ein

Not:

• meinen Duschgel

Here einräumen means:

• to put away
• to put back into its place
• to store/tidy something into a cupboard, shelf, drawer, etc.

So mein Duschgel wieder in den Schrank einräumen means:

• put my shower gel back in the cupboard

It is a very common verb for tidying or putting things where they belong.

Yes. Schrank is a general word for a storage unit with doors, so depending on context it could be:

• cupboard
• cabinet
• closet
• wardrobe

In this sentence, because it is about shower gel, cupboard or cabinet is the most natural translation.

A helpful breakdown is:

• Nach dem Training = time expression
• will = finite verb
• ich = subject
• nur kurz = adverbial phrase
• duschen = first infinitive
• und = and
• mein Duschgel wieder in den Schrank einräumen = second infinitive phrase

So the basic pattern is:

After training + want + I + just briefly + shower + and + put my shower gel back in the cupboard

This shows two actions the speaker wants to do:

1. duschen
2. mein Duschgel wieder in den Schrank einräumen

Both depend on will.